diff --git a/docs/_tutorials/advanced-install.md b/docs/_tutorials/advanced-install.md
index c1153742f96423114ce14f666164c9afd55eaf02..31987e6a87db99860c8e3bc69b14d993ad09619a 100755
--- a/docs/_tutorials/advanced-install.md
+++ b/docs/_tutorials/advanced-install.md
@@ -155,15 +155,20 @@ If you're getting the following error:
 Exception: >- DeepSpeed Op Builder: Installed CUDA version {VERSION} does not match the version torch was compiled with {VERSION}, unable to compile cuda/cpp extensions without a matching cuda version.
 ```
 You have a misaligned version of CUDA installed compared to the version of CUDA
-used to compile torch. We only require that major version match (e.g., 11.1 and
-11.8 are OK). However a mismatch in the major version may result in unexpected
-behavior and errors.
+used to compile torch. A mismatch in the major version is likely to result in
+errors or unexpected behavior.
 
 The easiest fix for this error is changing the CUDA version installed (check
 with `nvcc --version`) or updating the torch version to match the installed
 CUDA version (check with `python3 -c "import torch; print(torch.__version__)"`).
 
-If you want to skip this check and proceed with the mismatched CUDA versions, use the following environment variable:
+We only require that the major version matches (e.g., 11.1 and 11.8). However,
+note that even a mismatch in the minor version _may still_ result in unexpected
+behavior and errors, so it's recommended to match both major and minor versions.
+When there's a minor version mismatch, DeepSpeed will log a warning.
+
+If you want to skip this check and proceed with the mismatched CUDA versions,
+use the following environment variable, but beware of unexpected behavior:
 
 ```bash
 DS_SKIP_CUDA_CHECK=1