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.
Should he play, the two-time Wimbledon champion would be set for a heavily challenging campaign at The Championships.
Murray, 30, was forced to withdraw from an exhibition match at the Hurlingham Club due to concerns about his hip and appears to be struggling with the injury.
"Sadly I won't be ready to play at The Hurlingham tomorrow", said the world number one.
Konta recorded one of the best wins of her career on Thursday when she beat world number one Angelique Kerber to book a last four spot. "I'm very pleased with the two weeks we had", said Lendl, who explained that Murray had practised with Denis Shapovalov and Grigor Dimitrov at the start of the week. "I'm midway through my practice".
US House passes bill named after murdered Cal Poly grad
The House also voted, 257-167, in favor of legislation increasing penalties for those who re-enter the USA after being deported. A bill known as " Kate's Law " would impose harsher prison sentences on deportees who re-enter the United States.
However, pulling out of the Hurlingham Club event will leave him short of match practice after he was eliminated from his main warm-up event at Queen's in the first round last week.
Murray's title defense begins next Monday at 1pm on Centre Court. I thought previous year was more hard because in two weeks we didn't finish one practice on our own terms.
Murray is facing hard times for the last one year and after an early exit from the French Open, the British player is searching to regain his form.
According to The Times Murray has been treating his hip with sessions of "gyrotonic, a form of exercise that uses elements of yoga and t'ai chi", and the tennis world will discover on Monday whether it's been successful.