Amos, who spent the first six months of 2012/13 on loan at promotion-chasing Hull City before returning to the Reds to help steer Warren Joyce's Under-21s side to the title, will be hoping to build on that experience next season.
He's already played seven times for United's first team and has pre-season tour experience with the Reds dating back to 2008 when he was just 18.
This summer the champions head to Thailand, Australia, Japan and Hong Kong, and Amos, despite Friday's operation, believes he'll be fit for purpose should new manager David Moyes call on him.
Early on Friday morning Amos revealed on Twitter he was "off for a little procedure on my elbow". Five hours later, he provided a positive update.
"Apparently all went well. 5mm bit of bone taken out and excess bone shaved down," he tweeted. "Recovery time hopefully 10 days just in time for pre season!"
The Reds' first summer fixture is against a Singha All Star XI in Bangkok, Thailand on Saturday 13 July.