diff --git a/alloc.c b/alloc.c
index 353b5ea..e9f0a19 100644
--- a/alloc.c
+++ b/alloc.c
@@ -127,7 +127,7 @@ plane_step_init_next(struct alloc_step *step, struct alloc_step *prev,
 	if (layer != NULL) {
 		zpos_prop = layer_get_property(layer, "zpos");
 	}
-	if (zpos_prop != NULL && plane->type != DRM_PLANE_TYPE_PRIMARY) {
+	if (zpos_prop != NULL) {
 		step->last_layer_zpos = zpos_prop->value;
 	} else {
 		step->last_layer_zpos = prev->last_layer_zpos;
@@ -212,9 +212,6 @@ has_allocated_layer_over(struct liftoff_output *output, struct alloc_step *step,
 		if (i >= (ssize_t)step->plane_idx) {
 			break;
 		}
-		if (other_plane->type == DRM_PLANE_TYPE_PRIMARY) {
-			continue;
-		}
 
 		other_layer = step->alloc[i];
 		if (other_layer == NULL) {
@@ -253,9 +250,6 @@ has_allocated_plane_under(struct liftoff_output *output,
 		if (i >= (ssize_t)step->plane_idx) {
 			break;
 		}
-		if (other_plane->type == DRM_PLANE_TYPE_PRIMARY) {
-			continue;
-		}
 		if (step->alloc[i] == NULL) {
 			continue;
 		}
@@ -311,7 +305,7 @@ check_layer_plane_compatible(struct alloc_step *step,
 		}
 	}
 
-	if (plane->type != DRM_PLANE_TYPE_PRIMARY &&
+	if (layer != layer->output->composition_layer &&
 	    has_composited_layer_over(output, step, layer)) {
 		liftoff_log(LIFTOFF_DEBUG,
 			    "%s Layer %p -> plane %"PRIu32": "
diff --git a/plane.c b/plane.c
index 1e1835a..4b19e79 100644
--- a/plane.c
+++ b/plane.c
@@ -119,23 +119,16 @@ liftoff_plane_create(struct liftoff_device *device, uint32_t id)
 	}
 
 	/* During plane allocation, we will use the plane list order to fill
-	 * planes with FBs. Primary planes need to be filled first, then planes
-	 * far from the primary planes, then planes closer and closer to the
-	 * primary plane. */
-	if (plane->type == DRM_PLANE_TYPE_PRIMARY) {
-		liftoff_list_insert(&device->planes, &plane->link);
-	} else {
-		liftoff_list_for_each(cur, &device->planes, link) {
-			if (cur->type != DRM_PLANE_TYPE_PRIMARY &&
-			    plane->zpos >= cur->zpos) {
-				liftoff_list_insert(cur->link.prev, &plane->link);
-				break;
-			}
+	 * planes with FBs. */
+	liftoff_list_for_each(cur, &device->planes, link) {
+		if (plane->zpos >= cur->zpos) {
+			liftoff_list_insert(cur->link.prev, &plane->link);
+			break;
 		}
+	}
 
-		if (plane->link.next == NULL) { /* not inserted */
-			liftoff_list_insert(device->planes.prev, &plane->link);
-		}
+	if (plane->link.next == NULL) { /* not inserted */
+		liftoff_list_insert(device->planes.prev, &plane->link);
 	}
 
 	return plane;
diff --git a/test/test_alloc.c b/test/test_alloc.c
index f1571ce..1eeec40 100644
--- a/test/test_alloc.c
+++ b/test/test_alloc.c
@@ -159,7 +159,7 @@ static struct test_case tests[] = {
 				.height = 1080,
 				.zpos = 1,
 				.compat = { PRIMARY_PLANE },
-				.result = PRIMARY_PLANE,
+				.result = NULL,
 			},
 			{
 				.width = 100,
@@ -190,7 +190,7 @@ static struct test_case tests[] = {
 				.height = 1080,
 				.zpos = 1,
 				.compat = { PRIMARY_PLANE },
-				.result = PRIMARY_PLANE,
+				.result = NULL,
 			},
 			{
 				.width = 100,
@@ -218,7 +218,7 @@ static struct test_case tests[] = {
 				.height = 1080,
 				.zpos = 1,
 				.compat = { PRIMARY_PLANE },
-				.result = PRIMARY_PLANE,
+				.result = NULL,
 			},
 			{
 				.width = 100,
@@ -282,7 +282,7 @@ static struct test_case tests[] = {
 				.height = 1080,
 				.zpos = 1,
 				.compat = { PRIMARY_PLANE },
-				.result = PRIMARY_PLANE,
+				.result = NULL,
 			},
 			{
 				.width = 100,
@@ -394,7 +394,7 @@ static struct test_case tests[] = {
 				.height = 1080,
 				.zpos = 1,
 				.compat = { PRIMARY_PLANE },
-				.result = PRIMARY_PLANE,
+				.result = NULL,
 			},
 			{
 				.width = 100,
@@ -435,7 +435,7 @@ static struct test_case tests[] = {
 				.height = 1080,
 				.zpos = 1,
 				.compat = { PRIMARY_PLANE },
-				.result = PRIMARY_PLANE,
+				.result = NULL,
 			},
 			{
 				.width = 100,