diff --git a/ci/release/update-version.sh b/ci/release/update-version.sh
index 3aac5047..f6d5f735 100755
--- a/ci/release/update-version.sh
+++ b/ci/release/update-version.sh
@@ -58,6 +58,6 @@ done
 sed_runner "s/RAPIDS_VERSION_NUMBER=\".*/RAPIDS_VERSION_NUMBER=\"${NEXT_SHORT_TAG}\"/g" ci/build_docs.sh
 
 # Docs referencing source code
-for FILE in docs/source/*.rst; do
+find docs/source/ -type f -name *.rst -print0 | while IFS= read -r -d '' filename; do
     sed_runner "s|/branch-[^/]*/|/branch-${NEXT_SHORT_TAG}/|g" "${FILE}"
 done