Meanwhile, Heaton is unlikely to start in Germany on Friday with Stoke keeper Jack Butland set to get the No 1 shirt in the absence of Hart.
Southampton keeper Fraser Forster is also in the squad.
Hodgson said: “Obviously it’s very disappointing for Joe and Raheem to suffer injuries which will rule them out of our games against Germany and Holland.
“They are important players in our squad and I wish them a speedy recovery.
“Tom has been with us on several occasions and I am welcoming him back into the fold.”