He was unable to play an exhibition match against rising French star Lucas Pouille on Tuesday, as well as a knockabout game for Tim Henman's charity foundation.
But coach Ivan Lendl insisted there is no need to panic even though Murray will now go his first match at SW19 on Monday with only one full match on grass under his belt.
The world number one, 30, was scheduled to play an exhibition match at Hurlingham Club in London on Friday.
Murray has been practising at Wimbledon in recent days - with young Canadian Denis Shapovalov amongst others - but the disruption is far from ideal given his first-round exit at Queen's Club last week.
A third Wimbledon title will put Murray in a group that includes Briton Fred Perry, world number four Novak Djokovic and German great Boris Becker.
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"Sadly I won't be ready to play at The Hurlingham tomorrow", said Murray in a statement.
But Lendl, who joined up with Murray three weeks ago when he reached the semi-finals at the French Open, insisted: "I'm not anxious".
Despite a year which has seen him struggle with form, illness and injury, the Scot is set to be seeded No1 at the Wimbledon championships when the rankings are confirmed today.
"I love playing on grass, it has been my most successful surface in my career and if I could get to three it would be a great achievement".
Rafael Nadal and Tomas Berdych are also starring at Hurlingham before they travel to the All England Club on Monday, July 3, where Murray is due to open proceedings on Centre Court at 1 pm.