The 23-year-old will provide cover for first-choice keeper Mark Gillespie, who is sidelined for six weeks, and compete for a place with regular back-up Greg Fleming.
Carlisle manager Graham Kavanagh was full of praise for Amos, who will be available for Saturday’s clash against fellow mid-table opposition Crawley on Saturday.
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"They think very highly of him, so this fits perfectly with what they want for him at the moment. He won’t be able to play in the FA Cup games but he will be eligible for our league games.
"I’ve seen him quite a few times over the years, because we do get to a number of their Under-21 games, and he’s a good, all-round keeper. He wouldn’t be at that club if he wasn’t."
Carlisle, who were also loaned Reece James from Manchester United before injury forced a re-call, have a strong partnership with the side and Kavanagh praised the relationship between the two clubs.
"I think it’s something which started with Greg [Abbott] when we first brought James Chester in," he said. "Sir Alex Ferguson phoned Greg right at the start of that deal and told him to treat James as if he was our player.
"However, he wanted a weekly report on things like his attitude, his energy levels, his performance and how he conducted himself as a person.
"We did that for Sir Alex and it showed that we were prepared to look after his players in the correct manner. That built up a level of trust and it has definitely made situations like this easier."