The 20-year-old signed for the Potters on transfer deadline day in January and was immediately loaned back to St Andrew's.
Blues boss Lee Clark has agreed to let Butland train with the Stoke players every Monday when the Championship club don't have a midweek game.
"It's a great experience to go and train with some Premier League footballers and get my foot in the door there, if you like, and get to know the lads and gradually ease my way in," the Birmingham Mail quotes Butland as saying. "But of course, I am keeping my focus on playing games here and as well as I can."
Butland will join up with the Potters on a permanent basis in the summer.