The 23-year-old played nine games for the League One outfit between November and January, gaining valuable experience in a competitive environment following previous loans at Peterborough, Oldham and Hull City.
With David De Gea and Anders Lindegaard currently ahead of him at Manchester United, Amos feels another temporary move would keep him match-sharp.
"My time at Carlisle was great and served its purpose of giving me some consistency, which you can only get by playing games," he told ManUtd.com.
"League One is a really competitive league and I had a lot of work to do in the games. After a couple of games I felt back to my best, so I definitely benefited from it.
"Maybe the plan is to go out on loan and play again because I improved in a short space of time at Carlisle. If I can perhaps play at a higher level somewhere, that will help me."
Amos’ last game for Carlisle was a 2-1 defeat at Crewe on New Year’s Day, when he came up for a late corner but could not quite help salvage a point for the Blues.
"It was the last kick of the game and I wasn't prepared to lose, so I thought I'd give it a go," he added. "I played outfield when I was younger and wasn't far away from the header. I thought I was going to score – I saw the