diff --git a/tests/BUILD b/tests/BUILD
index adea49cac..b5a99b254 100644
--- a/tests/BUILD
+++ b/tests/BUILD
@@ -688,6 +688,11 @@ jax_test(
 jax_test(
     name = "nn_test",
     srcs = ["nn_test.py"],
+    backend_tags = {
+        "gpu": [
+            "noasan",  # Times out under asan.
+        ],
+    },
     shard_count = {
         "cpu": 10,
         "tpu": 10,