diff --git a/examples/jax/encoder/common.py b/examples/jax/encoder/common.py
new file mode 100644
index 0000000000..dcbfafc467
--- /dev/null
+++ b/examples/jax/encoder/common.py
@@ -0,0 +1,14 @@
+# Copyright (c) 2022-2024, NVIDIA CORPORATION & AFFILIATES. All rights reserved.
+#
+# See LICENSE for license information.
+"""Shared functions for the encoder tests"""
+from functools import lru_cache
+
+from transformer_engine.transformer_engine_jax import get_device_compute_capability
+
+
+@lru_cache
+def is_bf16_supported():
+    """Return if BF16 has hardware supported"""
+    gpu_arch = get_device_compute_capability(0)
+    return gpu_arch >= 80
diff --git a/examples/jax/encoder/test_model_parallel_encoder.py b/examples/jax/encoder/test_model_parallel_encoder.py
index 25d744887e..bafd9bd2fb 100644
--- a/examples/jax/encoder/test_model_parallel_encoder.py
+++ b/examples/jax/encoder/test_model_parallel_encoder.py
@@ -22,6 +22,8 @@
 import transformer_engine.jax as te
 import transformer_engine.jax.flax as te_flax
 
+from common import is_bf16_supported
+
 DEVICE_DP_AXIS = "data"
 DEVICE_TP_AXIS = "model"
 NAMED_BROADCAST_AXIS = "my_broadcast_axis"
@@ -434,6 +436,7 @@ def setUpClass(cls):
         """Run 3 epochs for testing"""
         cls.args = encoder_parser(["--epochs", "3"])
 
+    @unittest.skipIf(not is_bf16_supported(), "Device compute capability 8.0+ is required for BF16")
     def test_te_bf16(self):
         """Test Transformer Engine with BF16"""
         actual = train_and_evaluate(self.args)
@@ -446,6 +449,7 @@ def test_te_fp8(self):
         actual = train_and_evaluate(self.args)
         assert actual[0] < 0.45 and actual[1] > 0.79
 
+    @unittest.skipIf(not is_bf16_supported(), "Device compute capability 8.0+ is required for BF16")
     def test_te_bf16_sp(self):
         """Test Transformer Engine with BF16 + SP"""
         self.args.enable_sp = True
diff --git a/examples/jax/encoder/test_multigpu_encoder.py b/examples/jax/encoder/test_multigpu_encoder.py
index 9d08254f4d..a4a19b43c2 100644
--- a/examples/jax/encoder/test_multigpu_encoder.py
+++ b/examples/jax/encoder/test_multigpu_encoder.py
@@ -22,6 +22,8 @@
 import transformer_engine.jax as te
 import transformer_engine.jax.flax as te_flax
 
+from common import is_bf16_supported
+
 DEVICE_DP_AXIS = "data"
 PARAMS_KEY = "params"
 PARAMS_AXES_KEY = PARAMS_KEY + "_axes"
@@ -402,6 +404,7 @@ def setUpClass(cls):
         """Run 3 epochs for testing"""
         cls.args = encoder_parser(["--epochs", "3"])
 
+    @unittest.skipIf(not is_bf16_supported(), "Device compute capability 8.0+ is required for BF16")
     def test_te_bf16(self):
         """Test Transformer Engine with BF16"""
         actual = train_and_evaluate(self.args)
diff --git a/examples/jax/encoder/test_multiprocessing_encoder.py b/examples/jax/encoder/test_multiprocessing_encoder.py
index e581dbc3f9..f54deff69c 100644
--- a/examples/jax/encoder/test_multiprocessing_encoder.py
+++ b/examples/jax/encoder/test_multiprocessing_encoder.py
@@ -24,6 +24,8 @@
 import transformer_engine.jax as te
 import transformer_engine.jax.flax as te_flax
 
+from common import is_bf16_supported
+
 os.environ["CUDA_DEVICE_ORDER"] = "PCI_BUS_ID"
 DEVICE_DP_AXIS = "data"
 DEVICE_TP_AXIS = "model"
@@ -552,8 +554,9 @@ def encoder_parser(args):
 def query_gpu(q):
     """Query GPU info on the system"""
     gpu_has_fp8, reason = te.fp8.is_fp8_available()
+    gpu_has_bf16 = is_bf16_supported()
     num_gpu = len(jax.devices())
-    q.put([num_gpu, gpu_has_fp8, reason])
+    q.put([num_gpu, gpu_has_fp8, gpu_has_bf16, reason])
 
 
 def unittest_query_gpu():
@@ -566,15 +569,15 @@ def unittest_query_gpu():
     q = mp.Queue()
     p = mp.Process(target=query_gpu, args=(q,))
     p.start()
-    num_gpu, gpu_has_fp8, reason = q.get()
+    num_gpu, gpu_has_fp8, gpu_has_bf16, reason = q.get()
     p.join()
-    return num_gpu, gpu_has_fp8, reason
+    return num_gpu, gpu_has_fp8, gpu_has_bf16, reason
 
 
 class TestEncoder(unittest.TestCase):
     """Encoder unittests"""
 
-    num_gpu, gpu_has_fp8, reason = unittest_query_gpu()
+    num_gpu, gpu_has_fp8, gpu_has_bf16, reason = unittest_query_gpu()
 
     def exec(self, use_fp8):
         """Run 3 epochs for testing"""
@@ -598,6 +601,7 @@ def exec(self, use_fp8):
 
         return results
 
+    @unittest.skipIf(not gpu_has_bf16, "Device compute capability 8.0+ is required for BF16")
     def test_te_bf16(self):
         """Test Transformer Engine with BF16"""
         results = self.exec(False)
diff --git a/examples/jax/encoder/test_single_gpu_encoder.py b/examples/jax/encoder/test_single_gpu_encoder.py
index 363759afea..ac71fe4c0e 100644
--- a/examples/jax/encoder/test_single_gpu_encoder.py
+++ b/examples/jax/encoder/test_single_gpu_encoder.py
@@ -19,6 +19,8 @@
 import transformer_engine.jax as te
 import transformer_engine.jax.flax as te_flax
 
+from common import is_bf16_supported
+
 PARAMS_KEY = "params"
 DROPOUT_KEY = "dropout"
 INPUT_KEY = "input_rng"
@@ -321,6 +323,7 @@ def setUpClass(cls):
         """Run 4 epochs for testing"""
         cls.args = encoder_parser(["--epochs", "3"])
 
+    @unittest.skipIf(not is_bf16_supported(), "Device compute capability 8.0+ is required for BF16")
     def test_te_bf16(self):
         """Test Transformer Engine with BF16"""
         actual = train_and_evaluate(self.args)
diff --git a/qa/L0_jax_unittest/test.sh b/qa/L0_jax_unittest/test.sh
index db3aa31951..9efec6f2e5 100644
--- a/qa/L0_jax_unittest/test.sh
+++ b/qa/L0_jax_unittest/test.sh
@@ -18,7 +18,5 @@ pip install -r $TE_PATH/examples/jax/encoder/requirements.txt
 
 pytest -c $TE_PATH/tests/jax/pytest.ini -v $TE_PATH/examples/jax/mnist
 
-# Make encoder tests to have run-to-run deterministic to have the stable CI results
-export XLA_FLAGS="${XLA_FLAGS} --xla_gpu_deterministic_ops"
 pytest -c $TE_PATH/tests/jax/pytest.ini -v $TE_PATH/examples/jax/encoder --ignore=$TE_PATH/examples/jax/encoder/test_multiprocessing_encoder.py
 pytest -c $TE_PATH/tests/jax/pytest.ini -v $TE_PATH/examples/jax/encoder/test_multiprocessing_encoder.py