Players are able to enter eight tournaments based on the ranking they had before a long-term injury lay off.
Robson, 21, made her comeback from a wrist injury in June after having not competed since last year’s Australian Open.
British No2 Robson secured her first win in almost two years at a Challenger tournament in Canada on Thursday, beating Japan’s Naomi Osaka 7-6 (7-5) 6-7 (5-7) 6-3 at the Granby National Bank Challenger.
Robson lost in the first rounds at Eastbourne and Wimbledon on her comeback.
The US Open gets under way on 31 August in New York.
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