diff --git a/src/sna/sna_accel.c b/src/sna/sna_accel.c
index 77288ff0..9bf21fb6 100644
--- a/src/sna/sna_accel.c
+++ b/src/sna/sna_accel.c
@@ -1914,11 +1914,13 @@ sna_put_zpixmap_blt(DrawablePtr drawable, GCPtr gc, RegionPtr region,
 		}
 
 		/* And mark as having a valid GTT mapping for future uploads */
-		pixmap->devPrivate.ptr =
-			kgem_bo_map(&sna->kgem, priv->gpu_bo, PROT_WRITE);
-		if (pixmap->devPrivate.ptr) {
-			priv->mapped = 1;
-			pixmap->devKind = priv->gpu_bo->pitch;
+		if (priv->stride) {
+			pixmap->devPrivate.ptr =
+				kgem_bo_map(&sna->kgem, priv->gpu_bo, PROT_WRITE);
+			if (pixmap->devPrivate.ptr) {
+				priv->mapped = 1;
+				pixmap->devKind = priv->gpu_bo->pitch;
+			}
 		}
 
 		return true;