diff --git a/compose/ui/ui/src/webTest/kotlin/androidx/compose/ui/OnCanvasTests.kt b/compose/ui/ui/src/webTest/kotlin/androidx/compose/ui/OnCanvasTests.kt
index 6089a74a6311f..61ddb727a3b23 100644
--- a/compose/ui/ui/src/webTest/kotlin/androidx/compose/ui/OnCanvasTests.kt
+++ b/compose/ui/ui/src/webTest/kotlin/androidx/compose/ui/OnCanvasTests.kt
@@ -76,16 +76,6 @@ internal interface OnCanvasTests {
 
     private fun getContainer() = document.getElementById(containerId) ?: error("failed to get canvas with id ${containerId}")
 
-    private fun getAppRoot() = getShadowRoot().children[0] as HTMLElement
-
-    fun getA11YContainer(): HTMLElement? {
-        return if (getAppRoot().children.length < 3) {
-            null
-        } else {
-            // The expected order is: canvas, interop container <div>, a11y container <div>
-            getAppRoot().children[2] as HTMLElement
-        }
-    }
 
     fun getShadowRoot(): ExtendedShadowRoot =
         (getContainer().shadowRoot as? ExtendedShadowRoot) ?: error("failed to get shadowRoot")
@@ -111,28 +101,6 @@ internal interface OnCanvasTests {
         }
     }
 
-    suspend fun awaitA11YChanges() {
-        val a11yContainer = getA11YContainer() ?: return
-
-        fun skipFramesUntil(condition: () -> Boolean, onTrue: () -> Unit) {
-            window.requestAnimationFrame {
-                if (!condition()) {
-                    skipFramesUntil(condition, onTrue)
-                } else {
-                    onTrue()
-                }
-            }
-        }
-
-        suspendCoroutine { continuation ->
-            val initialContent = a11yContainer.innerHTML
-            skipFramesUntil(
-                condition = { a11yContainer.innerHTML != initialContent },
-                onTrue = { continuation.resumeWith(Result.success(Unit)) }
-            )
-        }
-    }
-
     fun dispatchEvents(vararg events: Event) {
         dispatchEvents(getCanvas(), *events)
     }
diff --git a/compose/ui/ui/src/webTest/kotlin/androidx/compose/ui/platform/a11y/CfWA11YTest.kt b/compose/ui/ui/src/webTest/kotlin/androidx/compose/ui/platform/a11y/CfWA11YTest.kt
index 71bcd660cb226..a147e59f0d7e2 100644
--- a/compose/ui/ui/src/webTest/kotlin/androidx/compose/ui/platform/a11y/CfWA11YTest.kt
+++ b/compose/ui/ui/src/webTest/kotlin/androidx/compose/ui/platform/a11y/CfWA11YTest.kt
@@ -27,7 +27,8 @@ import androidx.compose.ui.Modifier
 import androidx.compose.ui.OnCanvasTests
 import androidx.compose.ui.currentTimeMillis
 import androidx.compose.ui.platform.testTag
-import kotlin.test.Ignore
+import kotlin.coroutines.Continuation
+import kotlin.coroutines.suspendCoroutine
 import kotlin.test.Test
 import kotlin.test.assertEquals
 import kotlin.test.assertFalse
@@ -35,7 +36,7 @@ import kotlin.test.assertNotEquals
 import kotlin.test.assertNotNull
 import kotlin.test.assertNull
 import kotlin.test.assertTrue
-import kotlinx.browser.document
+import kotlinx.browser.window
 import kotlinx.coroutines.Dispatchers
 import kotlinx.coroutines.delay
 import kotlinx.coroutines.launch
@@ -45,6 +46,37 @@ import org.w3c.dom.HTMLElement
 import org.w3c.dom.get
 
 class CfWA11YTest : OnCanvasTests {
+    private fun getAppRoot() = getShadowRoot().children[0] as HTMLElement
+
+    private suspend fun awaitA11YChanges() {
+        val a11yContainer = getA11YContainer() ?: return
+
+        fun Continuation<Unit>.waitUntil(waitUntilCondition: () -> Boolean) {
+            window.requestAnimationFrame {
+                if (!waitUntilCondition()) {
+                    waitUntil(waitUntilCondition)
+                } else {
+                    resumeWith(Result.success(Unit))
+                }
+            }
+        }
+
+        suspendCoroutine { continuation ->
+            val initialContent = a11yContainer.innerHTML
+            continuation.waitUntil {
+                a11yContainer.innerHTML != initialContent
+            }
+        }
+    }
+
+    private fun getA11YContainer(): HTMLElement? {
+        return if (getAppRoot().children.length < 3) {
+            null
+        } else {
+            // The expected order is: canvas, interop container <div>, a11y container <div>
+            getAppRoot().children[2] as HTMLElement
+        }
+    }
 
     @Test
     fun a11yButtonClick() = runApplicationTest {
@@ -58,6 +90,7 @@ class CfWA11YTest : OnCanvasTests {
             }
         }
 
+
         awaitIdle()
 
         val a11yContainer = getA11YContainer()
@@ -71,9 +104,10 @@ class CfWA11YTest : OnCanvasTests {
         assertEquals("button", button1.getAttribute("role"))
         assertEquals("Button1", button1.innerText)
 
-        repeat(3) {
+        repeat(3) { repeatCounter ->
             button1.click()
-            assertEquals(it + 1, clickCounter)
+            awaitIdle()
+            assertEquals(repeatCounter + 1, clickCounter)
         }
     }
 
@@ -127,11 +161,11 @@ class CfWA11YTest : OnCanvasTests {
         assertTrue(button2.isConnected)
 
 
-        repeat(3) {
+        repeat(3) { repeatCounter ->
             button1.click()
             button2.click()
-            assertEquals(it + 1, clickCounter1)
-            assertEquals(it + 1, clickCounter2)
+            assertEquals(repeatCounter + 1, clickCounter1)
+            assertEquals(repeatCounter + 1, clickCounter2)
         }
 
         showButton2 = false
@@ -206,7 +240,6 @@ class CfWA11YTest : OnCanvasTests {
         assertEquals("Button3", buttonsContainer.children[2]!!.innerHTML)
     }
 
-    @Ignore // Sometimes fails on latest firefox FIXME: https://youtrack.jetbrains.com/issue/CMP-8955
     @Test
     fun changesMustBeBatched() = runApplicationTest {
         var show1 by mutableStateOf(true)
@@ -257,7 +290,6 @@ class CfWA11YTest : OnCanvasTests {
         assertTrue(waitedForChangesMs in 50..150, "Changes must be batched, waited for $waitedForChangesMs ms. Allowed tolerance 50ms was exceeded")
     }
 
-    @Ignore // Sometimes fails on latest firefox FIXME: https://youtrack.jetbrains.com/issue/CMP-8955
     @Test
     fun changesMustBeAppliedDespiteConstantDebounceAfter1Second() = runApplicationTest {
         var show1 by mutableStateOf(true)
@@ -324,7 +356,6 @@ class CfWA11YTest : OnCanvasTests {
         )
     }
 
-    @Ignore // Sometimes fails on latest firefox FIXME: https://youtrack.jetbrains.com/issue/CMP-8955
     @Test
     fun noChangesFor1SecondTheDebounceShouldWork() = runApplicationTest {
         var show by mutableStateOf(true)