Rotherham boss Ronnie Moore said: "Jason has gone out on loan to get some games under his belt.
"He hasn't featured much this season, Rochdale came in for him and we feel that it is a good deal for both parties."
Sam Allardyce has named his first England squad ahead of the September 4 clash with Slovakia.
Claudio Bravo looks set to join Manchester City in a reported £17million deal from Barcelona.
The toxic story of Arsenal and Arsene is set to roll on for at least another season.