diff --git a/compiler/testData/klib/evolution/addOrRemoveConst.kt b/compiler/testData/klib/evolution/addOrRemoveConst.kt
index e1100bc4708..f6f6e635d4e 100644
--- a/compiler/testData/klib/evolution/addOrRemoveConst.kt
+++ b/compiler/testData/klib/evolution/addOrRemoveConst.kt
@@ -1,3 +1,6 @@
+// KT-44602: fail 2
+// IGNORE_BACKEND_K1: JS_IR, JS_IR_ES6
+
 // MODULE: lib
 // FILE: A.kt
 // VERSION: 1
diff --git a/compiler/testData/klib/evolution/changeConstInitialization.kt b/compiler/testData/klib/evolution/changeConstInitialization.kt
index 6db0e1a5f3b..9fee7fa3c2f 100644
--- a/compiler/testData/klib/evolution/changeConstInitialization.kt
+++ b/compiler/testData/klib/evolution/changeConstInitialization.kt
@@ -1,3 +1,6 @@
+// KT-66342: fail 1: `const val bar` has changed its value
+// IGNORE_BACKEND_K1: JS_IR, JS_IR_ES6
+
 // MODULE: lib
 // FILE: A.kt
 // VERSION: 1
diff --git a/compiler/tests-common/tests/org/jetbrains/kotlin/test/KotlinTestUtils.java b/compiler/tests-common/tests/org/jetbrains/kotlin/test/KotlinTestUtils.java
index a94e807178c..f3756d07989 100644
--- a/compiler/tests-common/tests/org/jetbrains/kotlin/test/KotlinTestUtils.java
+++ b/compiler/tests-common/tests/org/jetbrains/kotlin/test/KotlinTestUtils.java
@@ -63,8 +63,7 @@ import java.util.*;
 import java.util.regex.Matcher;
 import java.util.regex.Pattern;
 
-import static org.jetbrains.kotlin.test.InTextDirectivesUtils.IGNORE_BACKEND_DIRECTIVE_PREFIXES;
-import static org.jetbrains.kotlin.test.InTextDirectivesUtils.isIgnoredTarget;
+import static org.jetbrains.kotlin.test.InTextDirectivesUtils.*;
 
 public class KotlinTestUtils {
     public static String TEST_MODULE_NAME = "test-module";
@@ -475,7 +474,10 @@ public class KotlinTestUtils {
     // * sometimes, for too common/general names, it shows many variants to navigate
     // * it adds an additional step for navigation -- you must choose an exact file to navigate
     public static void runTest0(DoTest test, TargetBackend targetBackend, String testDataFilePath) {
-        runTestImpl(testWithCustomIgnoreDirective(test, targetBackend, IGNORE_BACKEND_DIRECTIVE_PREFIXES), null, testDataFilePath);
+        String[] prefixes = test.getClass().getSimpleName().startsWith("Fir")
+                            ? new String[] { IGNORE_BACKEND_DIRECTIVE_PREFIX, IGNORE_BACKEND_K2_DIRECTIVE_PREFIX }
+                            : IGNORE_BACKEND_DIRECTIVE_PREFIXES;
+        runTestImpl(testWithCustomIgnoreDirective(test, targetBackend, prefixes), null, testDataFilePath);
     }
 
     private static void runTestImpl(@NotNull DoTest test, @Nullable TestCase testCase, String testDataFilePath) {
diff --git a/js/js.tests/build.gradle.kts b/js/js.tests/build.gradle.kts
index b423b205073..1091ad326db 100644
--- a/js/js.tests/build.gradle.kts
+++ b/js/js.tests/build.gradle.kts
@@ -270,6 +270,7 @@ fun Test.setUpJsBoxTests(jsEnabled: Boolean, jsIrEnabled: Boolean, firEnabled: B
         when {
             firEnabled && !es6Enabled -> {
                 include("org/jetbrains/kotlin/js/test/fir/*")
+                include("org/jetbrains/kotlin/js/testOld/klib/*")
 
                 exclude("org/jetbrains/kotlin/js/test/fir/FirJsES6BoxTestGenerated.class")
                 exclude("org/jetbrains/kotlin/js/test/fir/FirJsES6CodegenBoxTestGenerated.class")
@@ -299,6 +300,7 @@ fun Test.setUpJsBoxTests(jsEnabled: Boolean, jsIrEnabled: Boolean, firEnabled: B
 
                 include("org/jetbrains/kotlin/incremental/*")
                 include("org/jetbrains/kotlin/js/testOld/compatibility/binary/JsKlibBinaryCompatibilityTestGenerated.class")
+                include("org/jetbrains/kotlin/js/testOld/klib/*")
                 include("org/jetbrains/kotlin/benchmarks/GenerateIrRuntime.class")
                 include("org/jetbrains/kotlin/integration/JsIrAnalysisHandlerExtensionTest.class")
 
diff --git a/js/js.tests/test/org/jetbrains/kotlin/js/testOld/klib/AbstractJsKlibEvolutionTest.kt b/js/js.tests/test/org/jetbrains/kotlin/js/testOld/klib/AbstractJsKlibEvolutionTest.kt
index 9fd049366cb..245386c5c6a 100644
--- a/js/js.tests/test/org/jetbrains/kotlin/js/testOld/klib/AbstractJsKlibEvolutionTest.kt
+++ b/js/js.tests/test/org/jetbrains/kotlin/js/testOld/klib/AbstractJsKlibEvolutionTest.kt
@@ -14,7 +14,7 @@ import org.jetbrains.kotlin.compatibility.binary.*
 import org.jetbrains.kotlin.cli.jvm.compiler.EnvironmentConfigFiles
 import org.jetbrains.kotlin.cli.jvm.compiler.KotlinCoreEnvironment
 import org.jetbrains.kotlin.config.*
-import org.jetbrains.kotlin.js.testOld.V8JsTestChecker
+import org.jetbrains.kotlin.js.testOld.V8IrJsTestChecker
 import org.jetbrains.kotlin.library.KLIB_FILE_EXTENSION
 import org.jetbrains.kotlin.test.Directives
 import org.jetbrains.kotlin.test.KotlinBaseTest
@@ -129,7 +129,7 @@ abstract class AbstractJsKlibEvolutionTest(val compilerType: CompilerType) : Abs
     }
 
     // TODO: ask js folks what to use here.
-    protected open val testChecker get() = V8JsTestChecker
+    protected open val testChecker get() = V8IrJsTestChecker
 
     companion object {
         private val String.klib: String get() = "$this.$KLIB_FILE_EXTENSION"