diff --git a/buildSrc/src/main/kotlin/tasks.kt b/buildSrc/src/main/kotlin/tasks.kt
index 35b492212d0..389b4375272 100644
--- a/buildSrc/src/main/kotlin/tasks.kt
+++ b/buildSrc/src/main/kotlin/tasks.kt
@@ -61,6 +61,7 @@ val kotlinGradlePluginAndItsRequired = arrayOf(
     ":kotlin-stdlib-jdk7",
     ":kotlin-stdlib-jdk8",
     ":kotlin-stdlib-js",
+    ":kotlin-stdlib-wasm",
     ":examples:annotation-processor-example",
     ":kotlin-script-runtime",
     ":kotlin-scripting-common",
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/ConfigurationCacheIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/ConfigurationCacheIT.kt
index 265a7e310a2..8217d6a60db 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/ConfigurationCacheIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/ConfigurationCacheIT.kt
@@ -221,7 +221,6 @@ class ConfigurationCacheIT : AbstractConfigurationCacheIT() {
 }
 
 @SimpleGradlePluginTests
-@GradleTestVersions(minVersion = TestVersions.Gradle.G_6_6)
 abstract class AbstractConfigurationCacheIT : KGPBaseTest() {
     override val defaultBuildOptions =
         super.defaultBuildOptions.copy(configurationCache = true)
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/GradleVersionRequired.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/GradleVersionRequired.kt
index 35e7de7b904..8bcf6f2cc99 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/GradleVersionRequired.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/GradleVersionRequired.kt
@@ -18,13 +18,14 @@ package org.jetbrains.kotlin.gradle
 
 import org.gradle.util.GradleVersion
 import org.jetbrains.kotlin.gradle.GradleVersionRequired.Companion.OLDEST_SUPPORTED
+import org.jetbrains.kotlin.gradle.utils.minSupportedGradleVersion
 import org.junit.Assume
 
 sealed class GradleVersionRequired(val minVersion: String, val maxVersion: String?) {
     companion object {
-        const val OLDEST_SUPPORTED = "6.1.1"
+        const val OLDEST_SUPPORTED = minSupportedGradleVersion
 
-        val FOR_MPP_SUPPORT = AtLeast("6.1.1")
+        val FOR_MPP_SUPPORT = AtLeast(OLDEST_SUPPORTED)
     }
 
     class Exact(version: String) : GradleVersionRequired(version, version)
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/JvmTargetValidationTest.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/JvmTargetValidationTest.kt
index d64847fb4f6..36aa763fdf6 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/JvmTargetValidationTest.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/JvmTargetValidationTest.kt
@@ -240,7 +240,6 @@ class JvmTargetValidationTest : KGPBaseTest() {
     }
 
     @DisplayName("Should do JVM target validation if java sources are added and configuration cache is reused")
-    @GradleTestVersions(minVersion = TestVersions.Gradle.G_6_6)
     @GradleTest
     @ExperimentalPathApi
     internal fun shouldDoJvmTargetValidationOnNewJavaSourcesAndConfigurationCacheReuse(gradleVersion: GradleVersion) {
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kapt3AndroidIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kapt3AndroidIT.kt
index 7cc29f88b04..ee8e8b717d1 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kapt3AndroidIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kapt3AndroidIT.kt
@@ -146,9 +146,6 @@ class Kapt3Android42IT : BaseGradleIT() {
         KAPT_SUCCESSFUL_REGEX.findAll(this.output).count() > 0
     }
 
-    override val defaultGradleVersion: GradleVersionRequired
-        get() = GradleVersionRequired.AtLeast("6.7.1")
-
     override fun defaultBuildOptions(): BuildOptions =
         super.defaultBuildOptions().copy(
             kaptOptions = kaptOptions(),
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KaptIncrementalWithIsolatingApt.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KaptIncrementalWithIsolatingApt.kt
index 400ad98bf21..b67c254cf4b 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KaptIncrementalWithIsolatingApt.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KaptIncrementalWithIsolatingApt.kt
@@ -276,8 +276,7 @@ class KaptIncrementalWithIsolatingApt : KaptIncrementalIT() {
         if (System.getProperty("os.name")?.toLowerCase()?.contains("windows") == true) return
 
         val project = Project(
-            projectName = "kaptIncrementalWithParceler",
-            gradleVersionRequirement = GradleVersionRequired.AtLeast("6.7.1")
+            projectName = "kaptIncrementalWithParceler"
         ).apply {
             setupWorkingDir()
         }
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kotlin2JsGradlePluginIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kotlin2JsGradlePluginIT.kt
index 58956f0dec3..3d1f349614a 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kotlin2JsGradlePluginIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/Kotlin2JsGradlePluginIT.kt
@@ -1025,6 +1025,9 @@ abstract class AbstractKotlin2JsGradlePluginIT(protected val irBackend: Boolean)
 
 @JsGradlePluginTests
 class GeneralKotlin2JsGradlePluginIT : KGPBaseTest() {
+    // TODO: This test fails with deprecation error on Gradle <7.0
+    // Should be fixed via planned fixes in Kotlin/JS plugin: https://youtrack.jetbrains.com/issue/KFC-252
+    @GradleTestVersions(minVersion = TestVersions.Gradle.G_7_0)
     @DisplayName("js with both backends mode builds successfully")
     @GradleTest
     fun testJsBothModeWithTests(gradleVersion: GradleVersion) {
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KotlinGradlePluginIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KotlinGradlePluginIT.kt
index 01fae766387..121f946df7c 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KotlinGradlePluginIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KotlinGradlePluginIT.kt
@@ -1169,8 +1169,7 @@ class KotlinGradleIT : BaseGradleIT() {
     @Test
     fun testKtKt35942InternalsFromMainInTestViaTransitiveDepsAndroid() = with(
         Project(
-            projectName = "kt-35942-android",
-            gradleVersionRequirement = GradleVersionRequired.AtLeast("6.7.1")
+            projectName = "kt-35942-android"
         )
     ) {
         build(
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KotlinJsLibraryGradlePluginIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KotlinJsLibraryGradlePluginIT.kt
index c2599f47e01..2c0af0613f1 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KotlinJsLibraryGradlePluginIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KotlinJsLibraryGradlePluginIT.kt
@@ -13,7 +13,10 @@ import java.util.zip.ZipFile
 import kotlin.test.assertNotNull
 
 class KotlinJsIrLibraryGradlePluginIT : BaseGradleIT() {
-    override val defaultGradleVersion = GradleVersionRequired.AtLeast("6.1")
+    // TODO: This suite is failing with deprecation error on Gradle <7.0 versions
+    // Should be fixed via planned fixes in Kotlin/JS plugin: https://youtrack.jetbrains.com/issue/KFC-252
+    override val defaultGradleVersion: GradleVersionRequired
+        get() = GradleVersionRequired.AtLeast("7.0")
 
     override fun defaultBuildOptions(): BuildOptions =
         super.defaultBuildOptions().copy(
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KpmCompilerPluginIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KpmCompilerPluginIT.kt
index d3b669edfff..c93d90cbab7 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KpmCompilerPluginIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KpmCompilerPluginIT.kt
@@ -10,12 +10,6 @@ import kotlin.test.assertTrue
 
 class KpmCompilerPluginIT : BaseGradleIT() {
 
-    /**
-     * Gradle implementation of KPM uses features of 6.4+ version
-     */
-    override val defaultGradleVersion: GradleVersionRequired
-        get() = GradleVersionRequired.AtLeast("6.4")
-
     @Test
     fun testTransientPluginOptions() {
         val project = transformProjectWithPluginsDsl("kpmTransientPluginOptions")
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/NewMultiplatformIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/NewMultiplatformIT.kt
index 77d7a7cfdb7..3f342779d00 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/NewMultiplatformIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/NewMultiplatformIT.kt
@@ -1841,7 +1841,12 @@ class NewMultiplatformIT : BaseGradleIT() {
     }
 
     @Test
-    fun testWasmJs() = with(Project("new-mpp-wasm-js", gradleVersion)) {
+    fun testWasmJs() = with(Project(
+        "new-mpp-wasm-js",
+        // TODO: this test fails with deprecation error on Gradle <7.0
+        // Should be fixed via planned fixes in Kotlin/JS plugin: https://youtrack.jetbrains.com/issue/KFC-252
+        gradleVersionRequirement = GradleVersionRequired.AtLeast("7.0")
+    )) {
         setupWorkingDir()
         gradleBuildScript().modify(::transformBuildScriptWithPluginsDsl)
         build("build") {
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/SubpluginsIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/SubpluginsIT.kt
index c16d34c1b3b..0573914f738 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/SubpluginsIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/SubpluginsIT.kt
@@ -204,8 +204,7 @@ class SubpluginsIT : BaseGradleIT() {
     fun testKotlinVersionDowngradeInSupbrojectKt39809() = with(
         Project(
             "android-dagger",
-            directoryPrefix = "kapt2",
-            gradleVersionRequirement = GradleVersionRequired.AtLeast("6.7.1")
+            directoryPrefix = "kapt2"
         )
     ) {
         setupWorkingDir()
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/testbase/TestVersions.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/testbase/TestVersions.kt
index 9e4afe04e77..1fef61d30c4 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/testbase/TestVersions.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/testbase/TestVersions.kt
@@ -9,19 +9,13 @@ import org.jetbrains.kotlin.gradle.utils.minSupportedGradleVersion
 
 interface TestVersions {
     object Gradle {
-        const val G_6_1 = "6.1.1"
-        const val G_6_2 = "6.2.2"
-        const val G_6_3 = "6.3"
-        const val G_6_4 = "6.4.1"
-        const val G_6_5 = "6.5.1"
-        const val G_6_6 = "6.6.1"
         const val G_6_7 = "6.7.1"
         const val G_6_8 = "6.8.3"
         const val G_6_9 = "6.9.1"
         const val G_7_0 = "7.0.2"
         const val G_7_1 = "7.1.1"
         const val G_7_2 = "7.2"
-        const val G_7_3 = "7.3-rc-2"
+        const val G_7_3 = "7.3"
         const val MIN_SUPPORTED = minSupportedGradleVersion
         const val MAX_SUPPORTED = G_7_0
     }
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/testbase/arumentProviders.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/testbase/arumentProviders.kt
index 0d8604c454f..b1012446eb5 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/testbase/arumentProviders.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/testbase/arumentProviders.kt
@@ -133,7 +133,6 @@ class GradleAndJdkArgumentsProvider : GradleArgumentsProvider() {
 
     companion object {
         private val jdkGradleCompatibilityMatrix = mapOf(
-            JavaVersion.VERSION_14 to GradleVersion.version(TestVersions.Gradle.G_6_3),
             JavaVersion.VERSION_15 to GradleVersion.version(TestVersions.Gradle.G_6_7),
             JavaVersion.VERSION_16 to GradleVersion.version(TestVersions.Gradle.G_7_0),
             JavaVersion.VERSION_17 to GradleVersion.version(TestVersions.Gradle.G_7_3)
diff --git a/libraries/tools/kotlin-gradle-plugin/src/main/kotlin/org/jetbrains/kotlin/gradle/utils/compatibiltiy.kt b/libraries/tools/kotlin-gradle-plugin/src/main/kotlin/org/jetbrains/kotlin/gradle/utils/compatibiltiy.kt
index 52f8a092d62..fb15d959509 100644
--- a/libraries/tools/kotlin-gradle-plugin/src/main/kotlin/org/jetbrains/kotlin/gradle/utils/compatibiltiy.kt
+++ b/libraries/tools/kotlin-gradle-plugin/src/main/kotlin/org/jetbrains/kotlin/gradle/utils/compatibiltiy.kt
@@ -31,7 +31,7 @@ import org.gradle.util.GradleVersion
 import java.io.File
 import java.io.Serializable
 
-const val minSupportedGradleVersion = "6.1.1"
+const val minSupportedGradleVersion = "6.7.1"
 
 internal fun checkGradleCompatibility(
     withComponent: String = "the Kotlin Gradle plugin",