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 c817ebc3e70..2a955b54cf7 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
@@ -299,7 +299,7 @@ class KotlinGradleIT: BaseGradleIT() {
 
     @Test
     fun testWipeClassesDirectoryBetweenBuilds() {
-        val project = Project("kotlinJavaProject", NoSpecificGradleVersion)
+        val project = Project("kotlinJavaProject", SpecificGradleVersion("3.5"))
 
         project.build("build") {
             assertSuccessful()
@@ -589,7 +589,7 @@ class KotlinGradleIT: BaseGradleIT() {
         val deployKotlinSrcKt = File(project.projectDir, "src/deploy/kotlin/kotlinSrc.kt")
         deployKotlinSrcKt.appendText("\nfun topLevelFun() = 1")
 
-        project.build("build", "compileDeployKotlin") {
+        project.build("build", "deployClasses") {
             assertSuccessful()
             // Main source set should have a *.kotlin_module file without '_main'
             assertFileExists(kotlinClassesDir() + "META-INF/$archivesBaseName.kotlin_module")
@@ -605,7 +605,7 @@ class KotlinGradleIT: BaseGradleIT() {
 
             // Check that the Java source in a non-full-depth package structure was located correctly:
             checkBytecodeContains(
-                    File(project.projectDir, "build/classes/kotlin/main/my/pack/name/app/MyApp.class"),
+                    File(project.projectDir, kotlinClassesDir() + "my/pack/name/app/MyApp.class"),
                     "my/pack/name/util/JUtil.util")
         }
     }
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/SimpleKotlinGradleIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/SimpleKotlinGradleIT.kt
index 18ad42b055a..9a319dc34a9 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/SimpleKotlinGradleIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/SimpleKotlinGradleIT.kt
@@ -19,7 +19,10 @@ class SimpleKotlinGradleIT : BaseGradleIT() {
         project.build("compileDeployKotlin", "build") {
             assertSuccessful()
             assertContains("Finished executing kotlin compiler using daemon strategy")
-            assertReportExists("build/reports/tests/classes/demo.TestSource.html")
+            assertTrue {
+                fileInWorkingDir("build/reports/tests/classes/demo.TestSource.html").exists() ||
+                fileInWorkingDir("build/reports/tests/test/classes/demo.TestSource.html").exists()
+            }
             assertContains(":compileKotlin", ":compileTestKotlin", ":compileDeployKotlin")
         }
 
@@ -131,7 +134,7 @@ class SimpleKotlinGradleIT : BaseGradleIT() {
         Project("allOpenSpring", GRADLE_VERSION).build("build") {
             assertSuccessful()
 
-            val classesDir = File(project.projectDir, "build/classes/main")
+            val classesDir = File(project.projectDir, kotlinClassesDir())
             val openClass = File(classesDir, "test/OpenClass.class")
             val closedClass = File(classesDir, "test/ClosedClass.class")
             assertTrue(openClass.exists())
diff --git a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/UpToDatenessIT.kt b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/UpToDatenessIT.kt
index 79424432c71..30d725b813a 100644
--- a/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/UpToDatenessIT.kt
+++ b/libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/UpToDatenessIT.kt
@@ -32,7 +32,7 @@ class UpToDateIT : BaseGradleIT() {
     }
 
     private fun testMutations(vararg mutations: ProjectMutation) {
-        val project = Project("simpleProject", NoSpecificGradleVersion)
+        val project = Project("simpleProject", GradleVersionAtLeast("4.0"))
         project.setupWorkingDir()
         mutations.forEach {
             it.initProject(project)