diff --git a/tensorflow_probability/python/distributions/batch_broadcast_test.py b/tensorflow_probability/python/distributions/batch_broadcast_test.py
index 7f0ef2fe45..9bc8541133 100644
--- a/tensorflow_probability/python/distributions/batch_broadcast_test.py
+++ b/tensorflow_probability/python/distributions/batch_broadcast_test.py
@@ -40,12 +40,23 @@
 from tensorflow_probability.python.internal import test_util
 from tensorflow_probability.python.random import random_ops
 
+_DIFFERENT_HYPOTHESIS_KWARGS = {}
+
+# This check is done on recent versions of hypothesis, but not all,
+# as of November 2024.
+if hasattr(hp.HealthCheck, 'differing_executors'):
+  _DIFFERENT_HYPOTHESIS_KWARGS['suppress_health_check'] = [
+      hp.HealthCheck.differing_executors
+  ]
+
 
 @test_util.test_all_tf_execution_regimes
 class _BatchBroadcastTest(object):
 
   @hp.given(hps.data())
-  @tfp_hps.tfp_hp_settings(default_max_examples=5)
+  @tfp_hps.tfp_hp_settings(
+      default_max_examples=5,
+      **_DIFFERENT_HYPOTHESIS_KWARGS)
   def test_shapes(self, data):
     batch_shape = data.draw(tfp_hps.shapes())
     bcast_arg, dist_batch_shp = data.draw(
@@ -63,7 +74,9 @@ def test_shapes(self, data):
                         dist.event_shape_tensor())
 
   @hp.given(hps.data())
-  @tfp_hps.tfp_hp_settings(default_max_examples=5)
+  @tfp_hps.tfp_hp_settings(
+      default_max_examples=5,
+      **_DIFFERENT_HYPOTHESIS_KWARGS)
   def test_sample(self, data):
     batch_shape = data.draw(tfp_hps.shapes())
     bcast_arg, dist_batch_shp = data.draw(
@@ -109,7 +122,9 @@ def test_sample(self, data):
     self.assertAllClose(lp, dist.log_prob(sample2))
 
   @hp.given(hps.data())
-  @tfp_hps.tfp_hp_settings(default_max_examples=5)
+  @tfp_hps.tfp_hp_settings(
+      default_max_examples=5,
+      **_DIFFERENT_HYPOTHESIS_KWARGS)
   def test_log_prob(self, data):
     batch_shape = data.draw(tfp_hps.shapes())
     bcast_arg, dist_batch_shp = data.draw(
@@ -235,7 +250,9 @@ def test_docstring_example(self):
     self.evaluate(lp)
 
   @hp.given(hps.data())
-  @tfp_hps.tfp_hp_settings(default_max_examples=5)
+  @tfp_hps.tfp_hp_settings(
+      default_max_examples=5,
+      **_DIFFERENT_HYPOTHESIS_KWARGS)
   def test_default_bijector(self, data):
     batch_shape = data.draw(tfp_hps.shapes())
     bcast_arg, dist_batch_shp = data.draw(
diff --git a/tensorflow_probability/python/experimental/bijectors/scalar_function_with_inferred_inverse_test.py b/tensorflow_probability/python/experimental/bijectors/scalar_function_with_inferred_inverse_test.py
index ecec2b671a..0f9d27c34e 100644
--- a/tensorflow_probability/python/experimental/bijectors/scalar_function_with_inferred_inverse_test.py
+++ b/tensorflow_probability/python/experimental/bijectors/scalar_function_with_inferred_inverse_test.py
@@ -102,6 +102,8 @@ def ildj_fn(y):
     self.assertAllClose(ildj, ildj_true, atol=1e-4)
     self.assertAllClose(ildj_grad, ildj_grad_true, rtol=1e-4)
 
+  @test_util.disable_test_for_backend(
+      disable_jax=True, reason='Tracer leak from additional parameters.')
   @test_util.numpy_disable_gradient_test
   @parameterized.named_parameters(
       {