"I have been hitting the ball from a stationary position but I haven't been doing any movement," Murray told BBC at Sunday's London Marathon where he was invited to fire the starting pistol for the elite men's race.
"I don't feel any pressure to get playing again but if my body will allow, I will try."
Murray had posted a short video on social media earlier this month which showed him hitting the ball in an outdoor court while rallying with a wall and followed that up with a video of himself playing a round of golf.
"The hip is really good and there is no pain any more," Murray added. "I'm just a bit weak from the incision in the operation. I'm pain-free, happy and enjoying my life."
Murray had previously said he would target a comeback at Wimbledon, albeit as a doubles player. His mother Judy had said earlier this week that he was "cautiously optimistic" he would be able to play tennis again this season.
This year's Wimbledon begins on July 1.
(Reporting by Rohith Nair in Bengaluru; Editing by Toby Davis)
