The striker will join Michael Kelly, who joined the Twerton Park outfit last week on a one-month loan deal.
Since his arrival at Rovers in the summer from Newport County, Kavanagh has impressed for the Development Squad, scoring an impressive six goals in a friendly against Football Scuola Academy.
Rhys’ loan deal at Bath City will run until January 20th, 2018.
We wish Rhys all the best during his spell away from the Mem.