diff --git a/tests/BUILD b/tests/BUILD
index b5c1cf530..53455b7b8 100644
--- a/tests/BUILD
+++ b/tests/BUILD
@@ -117,7 +117,10 @@ jax_test(
     name = "fft_test",
     srcs = ["fft_test.py"],
     backend_tags = {
-        "tpu": ["notsan"],  # Times out on TPU with tsan.
+        "tpu": [
+            "noasan",
+            "notsan",
+        ],  # Times out on TPU with asan/tsan.
     },
     shard_count = {
         "tpu": 20,
@@ -555,6 +558,7 @@ jax_test(
             "nodebug",  # Times out.
             "notsan",  # Times out.
         ],
+        "cpu": ["notsan"],  # Times out
     },
     pjrt_c_api_bypass = True,
     shard_count = {
@@ -650,6 +654,12 @@ jax_test(
 jax_test(
     name = "scipy_fft_test",
     srcs = ["scipy_fft_test.py"],
+    backend_tags = {
+        "tpu": [
+            "noasan",
+            "notsan",
+        ],  # Times out on TPU with asan/tsan.
+    },
     shard_count = 4,
 )