diff --git a/Library/Homebrew/cmd/update.sh b/Library/Homebrew/cmd/update.sh
index f60dcf813e..23cd789d57 100644
--- a/Library/Homebrew/cmd/update.sh
+++ b/Library/Homebrew/cmd/update.sh
@@ -650,6 +650,9 @@ EOS
         elif [[ -n "${BASH_REMATCH[4]}" ]]
         then
           CURL_GITHUB_API_ARGS=("--header" "Authorization: token ${BASH_REMATCH[4]}")
+        elif [[ -n "${BASH_REMATCH[2]}" ]]
+        then
+          CURL_GITHUB_API_ARGS=("--header" "Authorization: token ${BASH_REMATCH[2]}")
         else
           CURL_GITHUB_API_ARGS=()
         fi