"I always enjoy playing there and I look forward to returning next year. I'm continuing to work hard on the court with the aim of being in New York."
Murray's decision has hampered his hopes of winning a second U.S. Open title as he has yet to play in any hardcourt tournaments in the lead up to the final major of the year.
He has been out of action since losing in the quarter-finals of Wimbledon in July.
The 30-year-old Briton has held the number one ranking since November of last year, but that may not last much longer.
Murray's absence at the Rogers Cup in Montreal this week means Rafael Nadal could take the top spot should the Spaniard advance to the semi-finals in Canada.
(Reporting by Rory Carroll; Editing by Toby Davis)
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