diff --git a/tests/BUILD b/tests/BUILD
index de924bdca..9660f85d2 100644
--- a/tests/BUILD
+++ b/tests/BUILD
@@ -417,17 +417,14 @@ jax_test(
     name = "lax_numpy_test",
     srcs = ["lax_numpy_test.py"],
     backend_tags = {
-        "cpu": [
-            "noasan",
-            "notsan",
-        ],  # Test times out.
-        "tpu": ["noasan"],  # Test times out.
+        "cpu": ["notsan"],  # Test times out.
     },
     shard_count = {
         "cpu": 40,
         "gpu": 40,
         "tpu": 40,
     },
+    tags = ["noasan"],  # Test times out on all backends
 )
 
 jax_test(
@@ -687,6 +684,9 @@ jax_test(
     name = "pmap_test",
     srcs = ["pmap_test.py"],
     backend_tags = {
+        "gpu": [
+            "noasan",  # Memory leaks in NCCL, see https://github.com/NVIDIA/nccl/pull/1143
+        ],
         "tpu": [
             "noasan",  # Times out under asan.
         ],
@@ -743,6 +743,10 @@ jax_test(
 jax_test(
     name = "pytorch_interoperability_test",
     srcs = ["pytorch_interoperability_test.py"],
+    backend_tags = {
+        # PyTorch leaks dlpack metadata https://github.com/pytorch/pytorch/issues/117058
+        "gpu": ["noasan"],
+    },
     disable_backends = ["tpu"],
     tags = ["not_build:arm"],
     deps = py_deps("torch"),