diff --git a/src/mesa/main/points.c b/src/mesa/main/points.c
index 87bfae2..638c5a4 100644
--- a/src/mesa/main/points.c
+++ b/src/mesa/main/points.c
@@ -57,6 +57,11 @@ _mesa_PointSize( GLfloat size )
    FLUSH_VERTICES(ctx, _NEW_POINT);
    ctx->Point.Size = size;
 
+   if (ctx->Point.Size == 1.0F)
+      ctx->_TriangleCaps &= ~DD_POINT_SIZE;
+   else
+      ctx->_TriangleCaps |= DD_POINT_SIZE;
+
    if (ctx->Driver.PointSize)
       ctx->Driver.PointSize(ctx, size);
 }