diff --git a/src/sna/sna_accel.c b/src/sna/sna_accel.c
index 71a6207..3c179ec 100644
--- a/src/sna/sna_accel.c
+++ b/src/sna/sna_accel.c
@@ -10797,7 +10797,7 @@ sna_poly_segment(DrawablePtr drawable, GCPtr gc, int n, xSegment *seg)
 	if (!PM_IS_SOLID(drawable, gc->planemask))
 		goto fallback;
 
-	if (gc->lineStyle != LineSolid || gc->lineWidth > 1)
+	if (gc->lineStyle != LineSolid || gc->lineWidth > 0)
 		goto spans_fallback;
 
 	data.bo = sna_drawable_use_bo(drawable, PREFER_GPU,