Sharapova returned last month from a doping ban to reach the semi-finals at the Stuttgart Open, but did not earn enough points to qualify for Roland Garros and is reliant on a wildcard for the qualifying tournament.
The French Tennis Federation will announce their decision on May 16.
Murray, however, said he expected the five-times grand slam champion would be on the grasscourts of south-west London.
"I think there's a good chance Wimbledon would give her one (a wild card) to get into qualifying," Murray told reporters at an event for June's Aegon Championships tournament at the Queen's Club in London.
