diff --git a/com.unity.ml-agents/CHANGELOG.md b/com.unity.ml-agents/CHANGELOG.md
index 0237b6c34e..3ad6d47a1c 100755
--- a/com.unity.ml-agents/CHANGELOG.md
+++ b/com.unity.ml-agents/CHANGELOG.md
@@ -20,6 +20,7 @@ and this project adheres to
 - Fixed a bug when using LSTM and SAC where the buffer might contain non-integer numbers of sequences. (#6301)
 - Fixed mixed CPU/GPU computation by ensuring tensors share a consistent device in the trainer; Updated training devices. (#6303)
 - Fix typing on optional strings (#6311)
+- Tighten assertion bound for test_process_pixels_gray (#6312)
 
 #### Examples
 - Replace hardcoded value 200f by agentRotationSpeed in MoveAgent() (#6306)
diff --git a/ml-agents-envs/tests/test_rpc_utils.py b/ml-agents-envs/tests/test_rpc_utils.py
index 8440d6586a..85b75d5450 100644
--- a/ml-agents-envs/tests/test_rpc_utils.py
+++ b/ml-agents-envs/tests/test_rpc_utils.py
@@ -259,7 +259,7 @@ def test_process_pixels_gray():
     byte_arr = generate_compressed_data(in_array)
     out_array = process_pixels(byte_arr, 1)
     assert out_array.shape == (1, 128, 64)
-    assert np.mean(in_array.mean(axis=0, keepdims=True) - out_array) < 0.01
+    assert np.mean(in_array.mean(axis=0, keepdims=True) - out_array) < 0.002
     assert np.allclose(in_array.mean(axis=0, keepdims=True), out_array, atol=0.01)
 
 
diff --git a/ml-agents/mlagents/trainers/tests/test_rpc_utils.py b/ml-agents/mlagents/trainers/tests/test_rpc_utils.py
index 6599c8948d..574da87714 100644
--- a/ml-agents/mlagents/trainers/tests/test_rpc_utils.py
+++ b/ml-agents/mlagents/trainers/tests/test_rpc_utils.py
@@ -259,7 +259,7 @@ def test_process_pixels_gray():
     byte_arr = generate_compressed_data(in_array)
     out_array = process_pixels(byte_arr, 1)
     assert out_array.shape == (1, 128, 64)
-    assert np.mean(in_array.mean(axis=0, keepdims=True) - out_array) < 0.01
+    assert np.mean(in_array.mean(axis=0, keepdims=True) - out_array) < 0.002
     assert np.allclose(in_array.mean(axis=0, keepdims=True), out_array, atol=0.01)