diff --git a/compose/integrations/composable-test-cases/gradle.properties b/compose/integrations/composable-test-cases/gradle.properties
index 3207b3afcf..0adfe994f7 100644
--- a/compose/integrations/composable-test-cases/gradle.properties
+++ b/compose/integrations/composable-test-cases/gradle.properties
@@ -1,7 +1,7 @@
 org.gradle.jvmargs=-Xmx2048M -XX:MaxMetaspaceSize=512m
 kotlin.code.style=official
 android.useAndroidX=true
-kotlin.version=1.9.21
+kotlin.version=1.9.22
 agp.version=7.3.0
 compose.version=1.6.0-dev1357
 
@@ -9,7 +9,7 @@ kotlinx.coroutines.version=1.8.0-RC
 
 #empty by default - a default version will be used
 #compose.kotlinCompilerPluginVersion=23.12.18
-compose.kotlinCompilerPluginVersion=1.5.4
+compose.kotlinCompilerPluginVersion=1.5.8-beta01
 
 # default|failingJs - see enum class CasesToRun
 tests.casesToRun=default
diff --git a/compose/integrations/composable-test-cases/settings.gradle.kts b/compose/integrations/composable-test-cases/settings.gradle.kts
index 09806225e6..fdb07a3483 100644
--- a/compose/integrations/composable-test-cases/settings.gradle.kts
+++ b/compose/integrations/composable-test-cases/settings.gradle.kts
@@ -122,6 +122,9 @@ if (casesToRun.isDefault()) {
 
     module(":testcase-expectActual-lib", "testcases/expectActual/lib")
     module(":testcase-expectActual-main", "testcases/expectActual/main")
+
+    module(":testcase-stability-lib", "testcases/stability/lib")
+    module(":testcase-stability-main", "testcases/stability/main")
 }
 
 /**
diff --git a/compose/integrations/composable-test-cases/testcases/stability/lib/build.gradle.kts b/compose/integrations/composable-test-cases/testcases/stability/lib/build.gradle.kts
new file mode 100644
index 0000000000..b96e439ee7
--- /dev/null
+++ b/compose/integrations/composable-test-cases/testcases/stability/lib/build.gradle.kts
@@ -0,0 +1,20 @@
+plugins {
+    kotlin("multiplatform")
+    id("org.jetbrains.compose")
+}
+
+kotlin {
+    configureTargets()
+
+    sourceSets {
+        val commonMain by getting {
+            dependencies {
+                implementation(compose.runtime)
+                implementation(getCommonLib())
+            }
+        }
+        val commonTest by getting {
+            configureCommonTestDependencies()
+        }
+    }
+}
diff --git a/compose/integrations/composable-test-cases/testcases/stability/lib/src/commonMain/kotlin/Dependencies.kt b/compose/integrations/composable-test-cases/testcases/stability/lib/src/commonMain/kotlin/Dependencies.kt
new file mode 100644
index 0000000000..0d3c3bffd5
--- /dev/null
+++ b/compose/integrations/composable-test-cases/testcases/stability/lib/src/commonMain/kotlin/Dependencies.kt
@@ -0,0 +1,8 @@
+data class UnstableDataClassWithPrivateVar(private var i: Int) {
+
+    fun inc() { i++ }
+    fun getI() = i
+}
+
+
+data class StableDataClassWithPrivateVal(private val i: Int)
\ No newline at end of file
diff --git a/compose/integrations/composable-test-cases/testcases/stability/main/build.gradle.kts b/compose/integrations/composable-test-cases/testcases/stability/main/build.gradle.kts
new file mode 100644
index 0000000000..d49878c7d2
--- /dev/null
+++ b/compose/integrations/composable-test-cases/testcases/stability/main/build.gradle.kts
@@ -0,0 +1,21 @@
+plugins {
+    kotlin("multiplatform")
+    id("org.jetbrains.compose")
+}
+
+kotlin {
+    configureTargets()
+
+    sourceSets {
+        val commonMain by getting {
+            dependencies {
+                implementation(compose.runtime)
+                implementation(getCommonLib())
+                implementation(getLibDependencyForMain())
+            }
+        }
+        val commonTest by getting {
+            configureCommonTestDependencies()
+        }
+    }
+}
diff --git a/compose/integrations/composable-test-cases/testcases/stability/main/src/commonTest/kotlin/Tests.kt b/compose/integrations/composable-test-cases/testcases/stability/main/src/commonTest/kotlin/Tests.kt
new file mode 100644
index 0000000000..2a2d54199c
--- /dev/null
+++ b/compose/integrations/composable-test-cases/testcases/stability/main/src/commonTest/kotlin/Tests.kt
@@ -0,0 +1,111 @@
+import androidx.compose.runtime.Composable
+import androidx.compose.runtime.mutableStateOf
+import com.example.common.TextLeafNode
+import com.example.common.composeText
+import kotlinx.coroutines.Job
+import kotlinx.coroutines.test.runTest
+import kotlin.test.BeforeTest
+import kotlin.test.Test
+import kotlin.test.assertEquals
+
+class Tests {
+
+    /**
+     *  Here we use an unstable parameter, and therefore
+     *  we expect the Composable function will NOT skip body execution.
+     */
+    @Test
+    fun testUnstableParameter() = runTest {
+        val i = UnstableDataClassWithPrivateVar(0)
+        val job = Job()
+
+        val state = mutableStateOf(0)
+        val root = composeText(coroutineContext + job) {
+            UseUnstableDataClassInstance(i)
+            TextLeafNode("state=" + state.value.toString())
+        }
+
+        assertEquals("root:{UnstableDataClassWithPrivateVar(i=0), state=0}", root.dump())
+        assertEquals(1, i.getI())
+        state.value += 1
+
+        testScheduler.advanceUntilIdle()
+        assertEquals("root:{UnstableDataClassWithPrivateVar(i=1), state=1}", root.dump())
+        assertEquals(2, i.getI())
+    }
+
+    @Test
+    fun testUnstableParameterOfLocalType() = runTest {
+        val i = LocalUnstableDataClassWithPrivateVar(0)
+        val job = Job()
+
+        val state = mutableStateOf(0)
+        val root = composeText(coroutineContext + job) {
+            UseLocalUnstableDataClassWithPrivateVar(i)
+            TextLeafNode("state=" + state.value.toString())
+        }
+
+        assertEquals("root:{LocalUnstableDataClassWithPrivateVar(i=0), state=0}", root.dump())
+        assertEquals(1, i.getI())
+        state.value += 1
+
+        testScheduler.advanceUntilIdle()
+        assertEquals("root:{LocalUnstableDataClassWithPrivateVar(i=1), state=1}", root.dump())
+        assertEquals(2, i.getI())
+    }
+
+    @Test
+    fun testStableParameter() = runTest {
+        val i = StableDataClassWithPrivateVal(0)
+        val job = Job()
+
+        val state = mutableStateOf(0)
+        val root = composeText(coroutineContext + job) {
+            UseStableDataClassWithPrivateVar(i)
+            TextLeafNode("state=" + state.value.toString())
+        }
+
+        assertEquals("root:{StableDataClassWithPrivateVal(i=0), counter=0, state=0}", root.dump())
+        assertEquals(1, counter)
+
+        state.value += 1
+        testScheduler.advanceUntilIdle()
+        assertEquals("root:{StableDataClassWithPrivateVal(i=0), counter=0, state=1}", root.dump())
+        assertEquals(1, counter)
+    }
+
+    @BeforeTest
+    fun before() {
+        counter = 0
+    }
+}
+
+private var counter = 0
+
+@Composable
+fun UseUnstableDataClassInstance(i: UnstableDataClassWithPrivateVar) {
+    TextLeafNode(i.toString())
+    i.inc()
+}
+
+@Composable
+fun UseStableDataClassWithPrivateVar(i: StableDataClassWithPrivateVal) {
+    TextLeafNode(i.toString())
+    TextLeafNode("counter=$counter")
+    counter++
+}
+
+
+/**
+ * Same as [UnstableDataClassWithPrivateVar] but defined in the same module that a function which uses it
+ */
+data class LocalUnstableDataClassWithPrivateVar(private var i: Int) {
+    fun inc() { i++ }
+    fun getI() = i
+}
+
+@Composable
+fun UseLocalUnstableDataClassWithPrivateVar(i: LocalUnstableDataClassWithPrivateVar) {
+    TextLeafNode(i.toString())
+    i.inc()
+}
\ No newline at end of file