"I'm delighted we've been able to bring in a keeper of Tom's calibre to the club," Rangers manager Jom Magilton told the clubs official website.
"We need competition for Radek (Cerny) and Tom will provide that. He's a good keeper, who knows what it takes to play in the Championship.
"He comes highly-rated, by both Sir Alex Ferguson and our own goalkeeping coach, David Rouse, who worked very closely with him at Old Trafford."