Andy Murray is "cautiously optimistic" he will be able to play tennis again this season after successfully undergoing hip surgery, his mother Judy has said.

The three-time Grand Slam champion said at this year's Australian Open that constant pain in his hip had brought him to the verge of quitting tennis but revealed last month that he was pain-free after the procedure in January.

Murray posted an Instagram video of himself on an outdoor court earlier this month, describing the footage of him hitting a tennis ball for the first time since the surgery as "a start".

He followed that up with a video of himself playing a round of golf that reinforced the message that he was on the mend.

"It's still early days so we will have to wait and see what happens. He is cautiously optimistic about getting back on the match court perhaps at some point over the summer," Judy was quoted as saying by British media.

"He was told not to do impact work, which basically means running around the garden hitting a ball, for three months but he's been hitting against a wall from a static position."

Murray hoped to make his comeback at Wimbledon and said in March that he would consider playing doubles because it would put less stress on his hip.

The 31-year-old twice Wimbledon champion has compared his situation to that of American doubles player Bob Bryan, who returned to competitive tennis five and a half months after undergoing a similar procedure.