Following manager Mark Collier's discussions with Brian Tinnion of Bristol City, Andrews returns on an initial two-month loan deal.
Collier said: "Jake had an outstanding loan period last season and played a key role in us securing the Southern League title.
"Jake proved a great signing on and off the pitch and was always one of my priorities for the coming season.
"Jake can play in various positions and will add undoubted quality to the squad.”
Providing the necessary paperwork is completed, Andrews will be available on Saturday for Chippenham's pre-season friendly away to Melksham Town.