diff --git a/jax/experimental/jax2tf/tests/primitives_test.py b/jax/experimental/jax2tf/tests/primitives_test.py
index a9db53251d9f..62fe2b7d1f6d 100644
--- a/jax/experimental/jax2tf/tests/primitives_test.py
+++ b/jax/experimental/jax2tf/tests/primitives_test.py
@@ -142,7 +142,12 @@ def test_qr(self, harness: primitive_harness.Harness):
     elif harness.params["dtype"] in [jnp.float32, jnp.float64]:
       self.ConvertAndCompare(harness.dyn_fun, *harness.dyn_args_maker(self.rng()),
                              atol=1e-5, rtol=1e-5)
-    else: # TODO: figure out why check_compiled=True breaks for complex types.
+    else:
+      # TODO: see https://github.com/google/jax/pull/3775#issuecomment-659407824.
+      # - check_compiled=True breaks for complex types;
+      # - for now, the performance of the HLO QR implementation called when
+      #   compiling with TF is expected to have worse performance than the
+      #   custom calls made in JAX.
       self.ConvertAndCompare(harness.dyn_fun, *harness.dyn_args_maker(self.rng()),
                              expect_tf_exceptions=True, atol=1e-5, rtol=1e-5)