diff --git a/coil-core/api/android/coil-core.api b/coil-core/api/android/coil-core.api
index ba35b52612..e769c944ed 100644
--- a/coil-core/api/android/coil-core.api
+++ b/coil-core/api/android/coil-core.api
@@ -904,6 +904,7 @@ public final class coil3/size/ScaleDrawable : android/graphics/drawable/Drawable
 	public final fun getScale ()Lcoil3/size/Scale;
 	public fun invalidateDrawable (Landroid/graphics/drawable/Drawable;)V
 	public fun isRunning ()Z
+	public fun isStateful ()Z
 	public fun scheduleDrawable (Landroid/graphics/drawable/Drawable;Ljava/lang/Runnable;J)V
 	public fun setAlpha (I)V
 	public fun setColorFilter (Landroid/graphics/ColorFilter;)V
@@ -1049,6 +1050,7 @@ public final class coil3/transition/CrossfadeDrawable : android/graphics/drawabl
 	public final fun getStart ()Landroid/graphics/drawable/Drawable;
 	public fun invalidateDrawable (Landroid/graphics/drawable/Drawable;)V
 	public fun isRunning ()Z
+	public fun isStateful ()Z
 	public fun registerAnimationCallback (Landroidx/vectordrawable/graphics/drawable/Animatable2Compat$AnimationCallback;)V
 	public fun scheduleDrawable (Landroid/graphics/drawable/Drawable;Ljava/lang/Runnable;J)V
 	public fun setAlpha (I)V
diff --git a/coil-core/src/androidMain/kotlin/coil3/size/ScaleDrawable.kt b/coil-core/src/androidMain/kotlin/coil3/size/ScaleDrawable.kt
index 93185a23fc..12b1acf9a8 100644
--- a/coil-core/src/androidMain/kotlin/coil3/size/ScaleDrawable.kt
+++ b/coil-core/src/androidMain/kotlin/coil3/size/ScaleDrawable.kt
@@ -81,10 +81,12 @@ class ScaleDrawable @JvmOverloads constructor(
         childScale = multiplier.toFloat()
     }
 
-    override fun onLevelChange(level: Int) = child.setLevel(level)
+    override fun isStateful() = child.isStateful
 
     override fun onStateChange(state: IntArray) = child.setState(state)
 
+    override fun onLevelChange(level: Int) = child.setLevel(level)
+
     override fun getIntrinsicWidth() = child.intrinsicWidth
 
     override fun getIntrinsicHeight() = child.intrinsicHeight
diff --git a/coil-core/src/androidMain/kotlin/coil3/transition/CrossfadeDrawable.kt b/coil-core/src/androidMain/kotlin/coil3/transition/CrossfadeDrawable.kt
index 1a494d51dd..18d2bc360d 100644
--- a/coil-core/src/androidMain/kotlin/coil3/transition/CrossfadeDrawable.kt
+++ b/coil-core/src/androidMain/kotlin/coil3/transition/CrossfadeDrawable.kt
@@ -154,10 +154,8 @@ class CrossfadeDrawable @JvmOverloads constructor(
         end?.let { updateBounds(it, bounds) }
     }
 
-    override fun onLevelChange(level: Int): Boolean {
-        val startChanged = start?.setLevel(level) ?: false
-        val endChanged = end?.setLevel(level) ?: false
-        return startChanged || endChanged
+    override fun isStateful(): Boolean {
+        return (start?.isStateful ?: false) || (end?.isStateful ?: false)
     }
 
     override fun onStateChange(state: IntArray): Boolean {
@@ -166,6 +164,12 @@ class CrossfadeDrawable @JvmOverloads constructor(
         return startChanged || endChanged
     }
 
+    override fun onLevelChange(level: Int): Boolean {
+        val startChanged = start?.setLevel(level) ?: false
+        val endChanged = end?.setLevel(level) ?: false
+        return startChanged || endChanged
+    }
+
     override fun getIntrinsicWidth() = intrinsicWidth
 
     override fun getIntrinsicHeight() = intrinsicHeight