Rays pitcher Matt Moore is recovering as expected from Tommy John surgery, and he told MLB.com Thursday he could begin a throwing program soon.

"I have sock throws starting this coming Monday," Moore said. "I'll do those six times, two weeks worth, Monday, Wednesday, Friday times two. After that, I'll be at 20 weeks. That will be five months [since his surgery] and I'll start my throwing program."

Moore is aiming for a May 2015 return to the majors, after missing all but two starts this season while recovering. Though he did add he might hit the brakes in his recovery a bit, if he feels rushed at the beginning of next season.

"If it was June, honestly, I think it would be best for all parties," he added. "Our squad in general and myself, just to make sure that we're not trying to get to May [and rushing things]."