diff --git a/src/cairo-gl-msaa-compositor.c b/src/cairo-gl-msaa-compositor.c
index a0fd9a0eb..28001fea3 100644
--- a/src/cairo-gl-msaa-compositor.c
+++ b/src/cairo-gl-msaa-compositor.c
@@ -409,6 +409,10 @@ _cairo_gl_msaa_compositor_mask (const cairo_compositor_t	*compositor,
     if (! can_use_msaa_compositor (dst, CAIRO_ANTIALIAS_DEFAULT))
 	return CAIRO_INT_STATUS_UNSUPPORTED;
 
+    if (composite->op == CAIRO_OPERATOR_CLEAR &&
+	composite->original_mask_pattern != NULL)
+	return CAIRO_INT_STATUS_UNSUPPORTED;
+
     /* GL compositing operators cannot properly represent a mask operation
        using the SOURCE compositing operator in one pass. This only matters if
        there actually is a mask (there isn't in a paint operation) and if the
@@ -851,6 +855,9 @@ _cairo_gl_msaa_compositor_glyphs (const cairo_compositor_t	*compositor,
     if (! dst->supports_stencil)
 	return CAIRO_INT_STATUS_UNSUPPORTED;
 
+    if (composite->op == CAIRO_OPERATOR_CLEAR)
+	return CAIRO_INT_STATUS_UNSUPPORTED;
+
     if (composite->is_bounded == FALSE) {
 	cairo_surface_t* surface = _prepare_unbounded_surface (dst);