diff --git a/glx/glxdri.c b/glx/glxdri.c
index aa763de..c68b127 100644
--- a/glx/glxdri.c
+++ b/glx/glxdri.c
@@ -396,7 +396,8 @@ __glXDRIbindTexImage(__GLXcontext *baseContext,
 
     pixmap = (PixmapPtr) glxPixmap->pDraw;
 
-    if (screen->texOffsetStart && screen->texOffset) {
+    if (screen->texOffsetStart && screen->texOffset &&
+	screen->texOffsetStart(pixmap) != ~0ULL) {
 	__GLXDRIdrawable **texOffsetOverride = screen->texOffsetOverride;
 	int i, firstEmpty = 16;