The former world number one, who has played just three matches since returning from a long-term hip injury, said on Wednesday he would “probably” make up his mind before Friday morning’s 10am draw.
But the two-time champion made no announcement on Thursday, prompting speculation he could let his name go into the hat for the first-round draw before making up his mind.
When asked on Wednesday if he intended to make a decision before the draw, Murray said: “Yeah, probably. I’ll chat with my team.
“Obviously see how I pull up again (on Thursday), but I don’t really anticipate any issues.
“With each match I’m trying to gain information about where I’m at physically and where my game is at.”
Murray risks upsetting All England Club organisers and fellow players if he opts to delay his decision until after the draw and then pull out before his first-round match.
But the 31-year-old, who had surgery on his right hip in January, would cause less disruption than usual if he takes that option as he has slipped down to 156 in the world rankings and is not seeded for the tournament.
Murray lost his latest comeback match on Wednesday 6-4 6-4 to current British number one Kyle Edmund at the Nature Valley International in Eastbourne.
Edmund lost his quarter-final match 5-7 6-3 6-1 to Kazakhstan’s Mikhail Kukushkin on Thursday.
“There is no risk of me playing tennis just now,” Murray added. “It’s just whether I feel like I’m able to do myself justice. Two weeks ago I practised with Kyle and I didn’t win a game.
“So I have made decent improvements the last couple of weeks and obviously have been somewhat competitive in the matches that I have played.
“But I don’t just want to go out there to just play. I want to be able to compete properly.”
The 32-year-old has been training in his native island of Mallorca and will only make his way to London on Monday, where he will bid to win the title at SW19 for a third time.
“I had a very intense campaign on clay and my body needed rest because drastic changes are not good,” Nadal said in an interview published in El Espanol on Saturday.
“I had to spend time adapting physically and in my tennis to the surface. I will certainly arrive at Wimbledon with less preparation, but…I’m going with confidence high because I played very well through the whole clay-court season.
“From next week I’m going to step it up, train hard and play a couple of exhibition matches.”
Andy Murray still has hopes of being fit for the grass-court season after stepping up his rehabilitation, according to his mother Judy.
The Scot has been out of action since last July with a hip injury that eventually required surgery in January.
His target for a return was always the British summer but reports several weeks ago suggested that was in doubt.
However, Judy Murray says that her son is now back on the practice courts, though has warned he will not rush back.
She told BBC Sport: “He’s doing the rehabilitation. He’s been back on the court in the last couple of days.
“His goal was always to try and be ready for the grass-court season and that is still his goal, so fingers crossed.
“He will be guided by his body and how he feels. He is the only person who knows how he feels.
“The most important thing is he gets fit again for the long term and any top athlete would tell you they would not come back until they felt they could give 100 per cent, especially in a major like Wimbledon.”
Murray announced his planned return to the ATP Tour would be in the Libema Open in Holland, starting next Monday.
The 31-year-old is still on the entry list on the tournament’s official website, but can pull out at any time before the event begins.