diff --git a/tests/BUILD b/tests/BUILD
index 0d8494df4..16ce56189 100644
--- a/tests/BUILD
+++ b/tests/BUILD
@@ -572,6 +572,11 @@ jax_test(
 jax_test(
     name = "pmap_test",
     srcs = ["pmap_test.py"],
+    backend_tags = {
+        "tpu": [
+            "noasan",  # Times out under asan.
+        ],
+    },
     pjrt_c_api_bypass = True,
     shard_count = {
         "cpu": 30,
@@ -771,6 +776,11 @@ jax_test(
     name = "sparsify_test",
     srcs = ["sparsify_test.py"],
     args = ["--jax_bcoo_cusparse_lowering=true"],
+    backend_tags = {
+        "tpu": [
+            "noasan",  # Times out under asan.
+        ],
+    },
     shard_count = {
         "cpu": 5,
         "gpu": 20,