Chelsea last week failed with a £20m bid for the unsettled striker, who faces a race against time to be fit for the start of the new season.
Rooney was sent home from Manchester United’s pre-season tour of Asia and Australia with the injury - which the club said would sideline him for up to a month.
But despite his fitness concerns, Rooney travelled down to the London area over the weekend and played at the member’s only Queenwood Golf Club in Surrey, where a host of Cheslea stars play.
But Rooney is understood to be keen on a move to Stamford Bridge, and will be aware that playing golf while recovering from a hamstring problem - and in the London area - will raise eyebrows with some.
Starsport contacted Rooney’s advisors to ask them directly about his Grove and Queenwood visits, but they declined to confirm or deny the story.