diff --git a/tests/pallas/ops_test.py b/tests/pallas/ops_test.py
index 70ced6eb2be6..318df0b0bfcf 100644
--- a/tests/pallas/ops_test.py
+++ b/tests/pallas/ops_test.py
@@ -525,9 +525,6 @@ def test_unary_primitives(self, name, func, shape_dtype_strategy, data):
         tol = 1e-6
       elif name == "exp2":
         tol = 1e-6
-    elif jtu.test_device_matches(["tpu"]):
-      if not jtu.is_device_tpu_at_least(version=5) and False:
-        self.skipTest("TODO: not implemented on TPU v{3,4}")
 
     def kernel(x_ref, y_ref):
       y_ref[...] = func(x_ref[...])
@@ -1413,7 +1410,7 @@ def test_dot(self, size, dtype, trans_x, trans_y):
     if jtu.test_device_matches(["tpu"]) and jnp.dtype(dtype).itemsize == 2:
       self.skipTest("16-bit types are not supported on TPU")
 
-    if jtu.test_device_matches(["tpu"]):
+    if jtu.test_device_matches(["tpu"]) and trans_x:
       self.skipTest("Not implemented: Transposed LHS")
 
     @functools.partial(