diff --git a/exa/exa_render.c b/exa/exa_render.c
index 6f2af8a..9a57fe6 100644
--- a/exa/exa_render.c
+++ b/exa/exa_render.c
@@ -902,8 +902,9 @@ exaComposite(CARD8	op,
     Bool saveMaskRepeat = pMask ? pMask->repeat : 0;
     RegionRec region;
 
-    if (pExaScr->swappedOut)
-	goto fallback;
+    if (pExaScr->swappedOut || pSrc->pDrawable == NULL || 
+	(pMask != NULL && pMask->pDrawable == NULL))
+	    goto fallback;
 
     /* Remove repeat in source if useless */
     if (pSrc->pDrawable && pSrc->repeat && !pSrc->transform && xSrc >= 0 &&