diff --git a/src/gallium/drivers/llvmpipe/lp_surface.c b/src/gallium/drivers/llvmpipe/lp_surface.c
index a116b02005f..6a081f9696a 100644
--- a/src/gallium/drivers/llvmpipe/lp_surface.c
+++ b/src/gallium/drivers/llvmpipe/lp_surface.c
@@ -311,6 +311,9 @@ llvmpipe_clear_render_target(struct pipe_context *pipe,
    if (render_condition_enabled && !llvmpipe_check_render_cond(llvmpipe))
       return;
 
+   width = MIN2(width, dst->texture->width0 - dstx);
+   height = MIN2(height, dst->texture->height0 - dsty);
+
    if (dst->texture->nr_samples > 1) {
       struct pipe_box box;
       u_box_2d(dstx, dsty, width, height, &box);
@@ -379,6 +382,9 @@ llvmpipe_clear_depth_stencil(struct pipe_context *pipe,
    if (render_condition_enabled && !llvmpipe_check_render_cond(llvmpipe))
       return;
 
+   width = MIN2(width, dst->texture->width0 - dstx);
+   height = MIN2(height, dst->texture->height0 - dsty);
+
    if (dst->texture->nr_samples > 1) {
       uint64_t zstencil = util_pack64_z_stencil(dst->format, depth, stencil);
       struct pipe_box box;