diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/CommonizerHierarchicalIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/CommonizerHierarchicalIT.kt
index a492dd33a88..c8929659a44 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/CommonizerHierarchicalIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/CommonizerHierarchicalIT.kt
@@ -9,7 +9,7 @@ import org.gradle.internal.os.OperatingSystem
 import org.jetbrains.kotlin.konan.file.File
 import org.junit.Test
 
-class CommonizerHierarchicalIT : BaseGradleIT() {
+open class CommonizerHierarchicalIT : BaseGradleIT() {
     override val defaultGradleVersion: GradleVersionRequired = GradleVersionRequired.FOR_MPP_SUPPORT
 
     @Test
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/CommonizerIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/CommonizerIT.kt
index 76453ae3a75..1e2864421ce 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/CommonizerIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/CommonizerIT.kt
@@ -19,7 +19,7 @@ import kotlin.test.assertFalse
 import kotlin.test.assertTrue
 import kotlin.test.fail
 
-class CommonizerIT : BaseGradleIT() {
+open class CommonizerIT : BaseGradleIT() {
     override val defaultGradleVersion: GradleVersionRequired = GradleVersionRequired.FOR_MPP_SUPPORT
 
     companion object {
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/HierarchicalMppIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/HierarchicalMppIT.kt
index 4e0906a1d2d..ff41a39e73e 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/HierarchicalMppIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/HierarchicalMppIT.kt
@@ -32,7 +32,7 @@ import kotlin.test.fail
 
 @MppGradlePluginTests
 @DisplayName("Hierarchical multiplatform")
-class HierarchicalMppIT : KGPBaseTest() {
+open class HierarchicalMppIT : KGPBaseTest() {
 
     private val String.withPrefix get() = "hierarchical-mpp-published-modules/$this"
 
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/K2Tests.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/K2Tests.kt
new file mode 100644
index 00000000000..7b4ab050c37
--- /dev/null
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/K2Tests.kt
@@ -0,0 +1,38 @@
+/*
+ * Copyright 2010-2023 JetBrains s.r.o. and Kotlin Programming Language contributors.
+ * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
+ */
+
+package org.jetbrains.kotlin.gradle
+
+import org.jetbrains.kotlin.gradle.testbase.BuildOptions
+import org.jetbrains.kotlin.gradle.testbase.MppGradlePluginTests
+import org.junit.jupiter.api.DisplayName
+import kotlin.test.Ignore
+
+@Ignore
+@MppGradlePluginTests
+@DisplayName("K2: Hierarchical multiplatform")
+class K2HierarchicalMppIT : HierarchicalMppIT() {
+    override val defaultBuildOptions: BuildOptions get() = super.defaultBuildOptions.copy(languageVersion = "2.0")
+}
+
+@Ignore
+class K2KlibBasedMppIT : KlibBasedMppIT() {
+    override fun defaultBuildOptions(): BuildOptions = super.defaultBuildOptions().copy(languageVersion = "2.0")
+}
+
+@Ignore
+class K2NewMultiplatformIT : NewMultiplatformIT() {
+    override fun defaultBuildOptions(): BuildOptions = super.defaultBuildOptions().copy(languageVersion = "2.0")
+}
+
+@Ignore
+class K2CommonizerIT : CommonizerIT() {
+    override fun defaultBuildOptions(): BuildOptions = super.defaultBuildOptions().copy(languageVersion = "2.0")
+}
+
+@Ignore
+class K2CommonizerHierarchicalIT : CommonizerHierarchicalIT() {
+    override fun defaultBuildOptions(): BuildOptions = super.defaultBuildOptions().copy(languageVersion = "2.0")
+}
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KlibBasedMppIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KlibBasedMppIT.kt
index e4759536269..1a1fd286702 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KlibBasedMppIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/KlibBasedMppIT.kt
@@ -16,7 +16,7 @@ import kotlin.test.Test
 import kotlin.test.assertFalse
 import kotlin.test.assertTrue
 
-class KlibBasedMppIT : BaseGradleIT() {
+open class KlibBasedMppIT : BaseGradleIT() {
     companion object {
         private const val MODULE_GROUP = "com.example"
     }
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 682157de494..c71a9fe7a25 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
@@ -33,7 +33,7 @@ import java.util.jar.JarFile
 import java.util.zip.ZipFile
 import kotlin.test.*
 
-class NewMultiplatformIT : BaseGradleIT() {
+open class NewMultiplatformIT : BaseGradleIT() {
     private val gradleVersion = GradleVersionRequired.FOR_MPP_SUPPORT
 
     private val nativeHostTargetName = MPPNativeTargets.current