The 29-year-old spent last season at Norwich, making three appearances in the Premier League for the Canaries before being released in the summer, and will be on a contract running until January.
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Goalkeeping coach Dean Kiely said: “Lee will bring experience and authority to the goalkeeping department.
“We have acted quickly in the wake of Ben’s injury and made a really good signing.
“Lee comes with a strong pedigree, having played at a high level both domestically and internationally.
“He ticked a lot of the boxes we required when we began the search for another keeper.”
Camp has racked up 349 league appearances during spells at Derby, Nottingham Forest, Burton, QPR and Norwich and was named in the PFA Championship Team of the Year in 2009-10.