Murray has won Wimbledon twice before - in 2013 and 2016 - and will need to be back in time before the tournament begins on July 2.
"I'm hoping I will be there [in contention at Wimbledon] but Roger Federer has obviously got a phenomenal record on grass", said Murray.
Speaking in a video on the Guardian's website, he said: "It's been very slow, I've been out getting close to a year now which is a lot longer than I expected at the beginning".
G7 Summit Highlights: Tusk Accuses Trump of Challenging 'International Order'
Russian Federation should be attending a Group of Seven summit in Canada , U.S. He didn't specify what products he could seek to target.
I Wanted Stephan Lichtsteiner Here - Dortmund Star Disappointed With Arsenal Move
Lichtsteiner, who signed a short-term deal with the Gunners , will provide competition and cover for right-back Hector Bellerin. The big objective is to come back on the highest level'.
Hilary Duff Is Pregnant, Expecting Baby Girl With Boyfriend Matthew Koma!
Later past year , Duff opened up about their romance in a December interview with " The Talk " saying, "It's going so great". She warned, "Besides, watch, I'll probably get some evil spawn of Hilary the next time around".
On playing at Wimbledon, he said: 'I'm hoping I'll be there'.
Murray underwent hip surgery in January after a six-month lay-off and hasn't been able to play competitive tennis since hobbling out of his Wimbledon quarter-final against Sam Querrey a year ago. "He'll definitely be up there as one of the favourites". "He's been back on the court in the last couple of days", Judy told BBC Sport.
Murray's mother Judy on Monday said her son was back on the practice courts.
"His goal was always to try and be ready for the grass-court season and that is still his goal, so fingers crossed".
Speaking after his defeat in Paris, the three-time Wimbledon victor spoke on whether he will play on grass this year.