Andy Murray is on schedule to be fit enough to play in the US Open at Flushing Meadows this month.
The final Grand Slam of the season runs from August 28-September 10 and Murray, who won the major event in 2012, is facing a fitness battle to make the tournament in New York City.
Britain's number one has been hampered by a hip injury he picked up at Wimbledon this year and he pulled out of recent tournaments in Montreal and Cincinnati due to the ongoing complaint.
Former world number one Novak Djokovic has already pulled out of the US Open due to injury whilst Stanislas Wawrinka and Kei Nishikori are both missing after picking up their respective problems.
Murray's absence would be a further blow to the Grand Slam but he is said to be on course to make an appearance, having flown to New York on Friday to start his preparations.
The Scot will slip to world number two on Monday, Rafael Nadal replacing him, and the 30-year-old will now be seeded second at Flushing Meadows.