diff --git a/Library/Homebrew/cmd/update.sh b/Library/Homebrew/cmd/update.sh
index ee88b2cc94..5f6c68fb6d 100644
--- a/Library/Homebrew/cmd/update.sh
+++ b/Library/Homebrew/cmd/update.sh
@@ -252,6 +252,7 @@ EOS
   fi
 
   INITIAL_BRANCH="$(git symbolic-ref --short HEAD 2>/dev/null)"
+  SOFT_DELETE_MASTER=
   if [[ "${INITIAL_BRANCH}" == "master" &&
         ("${DIR}" == "${HOMEBREW_REPOSITORY}" || "${DIR}" == "${HOMEBREW_CORE_REPOSITORY}" || "${DIR}" == "${HOMEBREW_CASK_REPOSITORY}") ]]
   then
@@ -682,6 +683,16 @@ EOS
         UPSTREAM_REPOSITORY_TOKEN="${BASH_REMATCH[1]#*:}"
       fi
 
+      MAIN_MIGRATION_REQUIRED=
+      if [[ "${UPSTREAM_BRANCH_DIR}" == "master" &&
+            ("${DIR}" == "${HOMEBREW_REPOSITORY}" || "${DIR}" == "${HOMEBREW_CORE_REPOSITORY}" || "${DIR}" == "${HOMEBREW_CASK_REPOSITORY}") ]]
+      then
+        # Migrate master to main for Homebrew/brew, homebrew-core or homebrew-cask
+        MAIN_MIGRATION_REQUIRED=1
+        UPSTREAM_BRANCH_DIR="main"
+        declare UPSTREAM_BRANCH"${TAP_VAR}"="main"
+      fi
+
       if [[ -n "${UPSTREAM_REPOSITORY}" ]]
       then
         # UPSTREAM_REPOSITORY_TOKEN is parsed (if exists) from UPSTREAM_REPOSITORY_URL
@@ -793,6 +804,11 @@ EOS
         fi
       fi
 
+      if [[ -n "${MAIN_MIGRATION_REQUIRED}" ]]
+      then
+        git remote set-head origin --auto >/dev/null
+      fi
+
       rm -f "${tmp_failure_file}"
     ) &
   done