He will be up against Australia's Nick Kyrgios in the first round at the Queen's Club tournament in London on Tuesday.
Murray had spoken beforehand of his "very low" expectations and yet, after a testing start, the Briton broke through the first time he was able to put real pressure on Kyrgios' serve, profiting from consecutive double faults.
He was clearly worn out at the end and there was even the suggestion of a limp but Murray said that was only to be expected after such a long layoff.
"I won't rule anything out just now", he said.
"I wouldn't rule out not playing a tournament next week and trying to get matches like in an exhibition tournament, as well, to get ready for Wimbledon".
Murray is contesting his first match since Wimbledon a year ago, undergoing hip surgery in Melbourne in January.
"He is playing well, he obviously hasn't played many matches so a couple of points he wasn't quite at it, but he is hitting the ball well and moving great and everyone is pretty pleased to have him back".
Kyrgios then took the decider after the Scot - who has slipped to 156 in the world during his injury break - double-faulted to win 2-6 7-6 (7-4) 7-5.
The players trained on adjacent courts, but all eyes were on Murray to see his condition.
However, Murray admitted to feeling stiffness in his back during the match and his foot afterwards, prompting him to make it clear he is still unsure if his body can hold up to the demands of best-of-five-set ties at Wimbledon.
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It was Kyrgios' first victory over the two-time Wimbledon champion at his sixth attempt and also his first singles victory at the historic Queen's Club. I won't rule out playing Eastbourne and not playing Wimbledon.
"If I'm feeling good physically and if I believe in myself there is no reason why I can't go into Wimbledon as one of the serious threats", he said.Up 3-1 in the (third-set) breaker serving.
So when I'm playing him it is not a surprise at all.
"I feel like I'm in good form on the grass". My timing, my hands and stuff is all good.
Had Murray won, he would have faced a juicy (and too premature) matchup against the current British No. 1, Kyle Edmund.
World No 5 Dimitrov beat Bosnia's Damir Dzumhur 6-3, 6-7, 6-3 in his opening match as the Bulgarian bids to win Queen's for the second time.
"People might say, "oh, you've got it great" - which I'm aware that we do, and I'm very lucky I get to play tennis for a living".
Djokovic, who lost to Italian giant-killer Marco Cecchinato in the quarter-finals at Roland Garros earlier this month, was rampant in a 6-2 6-1 win.