The 35-year-old, who reached the Roland Garros final in 2016, suffered his second early exit of the clay season on Thursday with a 6-2 7-6 (9-7) first-round defeat by Italian Andrea Vavassori at the Madrid Open.
Reports have suggested Murray, who also lost in the first round of the Monte Carlo Masters, could skip the May 28-June 11 French Open to focus on Wimbledon but the Scot insisted he did not want to miss the chance to play at another grand slam.
“I would like to play just purely because I don’t know if I’ll get another opportunity,” he said.
“Whilst I (still) feel fit and healthy, I would like to give it a go.
“I also have ambitions of competing for Wimbledon titles and that sort of stuff.
“I know that sitting here today that probably doesn’t sound realistic but I do believe that’s a possibility.
“It’s impossible to say what the right thing to do is, but it’s a grand slam. I would like the opportunity to play.”