diff --git a/kotlin-native/backend.native/tests/build.gradle b/kotlin-native/backend.native/tests/build.gradle
index ca16a7e0f5d..292973db597 100644
--- a/kotlin-native/backend.native/tests/build.gradle
+++ b/kotlin-native/backend.native/tests/build.gradle
@@ -1182,7 +1182,6 @@ task enum_nested(type: KonanLocalTest) {
 }
 
 task enum_isFrozen(type: KonanLocalTest) {
-    goldValue = isExperimentalMM ? "false\n" : "true\n"
     source = "codegen/enum/isFrozen.kt"
 }
 
@@ -1277,6 +1276,10 @@ standaloneTest("objectDeclaration_globalConstants") {
     source = "codegen/objectDeclaration/globalConstants.kt"
 }
 
+task object_isFrozen(type: KonanLocalTest) {
+    source = "codegen/objectDeclaration/isFrozen.kt"
+}
+
 task localClass_objectExpressionInProperty(type: KonanLocalTest) {
     goldValue = "OK\n"
     source = "codegen/localClass/objectExpressionInProperty.kt"
diff --git a/kotlin-native/backend.native/tests/codegen/enum/isFrozen.kt b/kotlin-native/backend.native/tests/codegen/enum/isFrozen.kt
index b6e19af5897..33950532821 100644
--- a/kotlin-native/backend.native/tests/codegen/enum/isFrozen.kt
+++ b/kotlin-native/backend.native/tests/codegen/enum/isFrozen.kt
@@ -8,11 +8,21 @@ package codegen.enum.isFrozen
 import kotlin.test.*
 import kotlin.native.concurrent.*
 
-enum class Zzz(val zzz: String) {
+enum class Zzz(val zzz: String, var value: Int = 0) {
     Z1("z1"),
     Z2("z2")
 }
 
 @Test fun runTest() {
-    println(Zzz.Z1.isFrozen)
-}
\ No newline at end of file
+    if (Platform.memoryModel == MemoryModel.STRICT) {
+        assertTrue(Zzz.Z1.isFrozen)
+        assertFailsWith<InvalidMutabilityException> {
+            Zzz.Z1.value = 42
+        }
+        assertEquals(0, Zzz.Z1.value)
+    } else {
+        assertFalse(Zzz.Z1.isFrozen)
+        Zzz.Z1.value = 42
+        assertEquals(42, Zzz.Z1.value)
+    }
+}
diff --git a/kotlin-native/backend.native/tests/codegen/objectDeclaration/isFrozen.kt b/kotlin-native/backend.native/tests/codegen/objectDeclaration/isFrozen.kt
new file mode 100644
index 00000000000..6ee0a7fcfe4
--- /dev/null
+++ b/kotlin-native/backend.native/tests/codegen/objectDeclaration/isFrozen.kt
@@ -0,0 +1,27 @@
+/*
+ * Copyright 2010-2021 JetBrains s.r.o. Use of this source code is governed by the Apache 2.0 license
+ * that can be found in the LICENSE file.
+ */
+
+package codegen.objectDeclaration.isFrozen
+
+import kotlin.test.*
+import kotlin.native.concurrent.*
+
+object X {
+    var value: Int = 0
+}
+
+@Test fun runTest() {
+    if (Platform.memoryModel == MemoryModel.STRICT) {
+        assertTrue(X.isFrozen)
+        assertFailsWith<InvalidMutabilityException> {
+            X.value = 42
+        }
+        assertEquals(0, X.value)
+    } else {
+        assertFalse(X.isFrozen)
+        X.value = 42
+        assertEquals(42, X.value)
+    }
+}