diff --git a/src/gallium/drivers/llvmpipe/lp_state_fs.c b/src/gallium/drivers/llvmpipe/lp_state_fs.c
index 5a23202d174..89ec81f569a 100644
--- a/src/gallium/drivers/llvmpipe/lp_state_fs.c
+++ b/src/gallium/drivers/llvmpipe/lp_state_fs.c
@@ -1005,7 +1005,7 @@ generate_fs_loop(struct gallivm_state *gallivm,
 
          lp_build_alpha_test(gallivm, key->alpha.func, type, cbuf_format_desc,
                              &mask, alpha, alpha_ref_value,
-                             (depth_mode & LATE_DEPTH_TEST) != 0);
+                             ((depth_mode & LATE_DEPTH_TEST) != 0) && !key->multisample);
       }
    }