The highly-rated youngster has moved to the Championship outfit to get first-team action after seeing his progress at Old Trafford blocked by David de Gea and Anders Lindegaard
The 22-year-old, who has previously been on loan to Peterborough United and Oldham Athletic as well as Norwegian Molde, spent last season as United’s third-choice keeper behind David de Gea and Anders Lindegaard.
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Amos becomes Steve Bruce's second signing in as many days following the arrival of his son, Alex, at the KC Stadium.
The Tigers open their league campaign with a match against Brighton as they look to secure promotion back to the Premier League following their relegation back in 2009-10.
Meanwhile, Sam Johnstone looks poised to be become Sir Alex Ferguson’s third-choice stopper during the 2012-13 season.