The England midfielder was ruled out of the final two matches of the season after a decision was made to send him for an operation to correct a long-term problem with his left shoulder.
But the 33-year-old is coming to the end of a six-week rehabilitation period and is already looking ahead to pre-season training. "It's going well and feeling strong," he told LFC TV.
"I'm six weeks down the line with the rehabilitation from surgery. I'm not too far away, maybe a couple of weeks away from contact and being back in full training if everything goes well. I'm looking forward to it.
"It's probably the longest break I've had at this time of year - being out of the game for six weeks is enough, I'm itching to get back."
While Gerrard has been doing his rehabilitation manager Brendan Rodgers has been busy progressing his summer recruitment drive with goalkeeper Simon Mignolet's capture on Tuesday the fourth post-season signing.
The Reds retain an interest in Armenia international Henrikh Mkhitaryan but it is a complicated deal and his club Shakhtar Donetsk appear keen to create an auction for the midfielder, who did not report for the club's pre-season training camp.
Reports in Ukraine claim chief executive Sergei Palkin has rejected a bid approaching £20million from Champions League runners-up Borussia Dortmund.
Palkin has suggested an offer of closer to £25million - all in one up-front payment - would secure a deal but he has said that only applies for the next 10 days.
Social media was awash with rumours Mkhitaryn had checked into a London hotel in an attempt to advance negotiations but Press Association Sport understands Reds' chief executive Ian Ayre has been at his office in Liverpool all day and there is not likely to be swift progress on any deal.
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