Coleman spent some time at home in Donegal, but he is now back on Merseyside to undertake a rehabilitation programme set out by the club.
"Progress is being made. I'm doing all that I'm being asked of so far and I just have to keep going that way," the Liverpool Echo quotes Coleman as saying. "There is no end date, I'm just wanting to tick the boxes early on and keep improving.
"I've never been a big fan of lifting weights but it's something I've had to do a little bit more now I'm injured. For me it's important to stay positive. Positive thinking helps a lot. I'm going to continue in that way."
Despite his lengthy spell on the sidelines, Coleman signed a new five-year contract in May.