The 19-year-old Spaniard, who went undefeated in six matches at Indian Wells, will reclaim the top spot in the world in Monday's ATP Rankings.
The 20-year-old withdrew from Tuesday's Eisenhower Cup after pulling out of last week's ATX Open due to tonsillitis.
The US Tennis Association and the US Open's organisers both expressed their support for Djokovic's application to enter the country on Friday.
Djokovic is unlikely to play but is still added to the provisional Entry List because vaccine mandates won't end until May despite calls to do so.
The four-time Grand Slam winner lost to Russia's Kudermetova in the second round of Indian Wells Masters on Sunday.
Novak Djokovic had caused quite the stir due to his unvaccinated status ahead of the Australian Open earlier this year.