The prospect of a Monday final is now looming large - something which has happened in each of the past three years thanks to the bad weather in New York.
Djokovic told ESPN: "It's been like this in New York for the last couple of years. It's been happening more often than we expect it to so maybe this tournament should consider a roof in the future.''
The Australian Open and Wimbledon already have the capacity to play matches when it is raining while the French Open announced plans this year to put a roof on Court Philippe Chatrier in time for the 2016 tournament.
However, having a roof over one of the courts at Flushing Meadows would not be easy.
The sheer scale of the main Arthur Ashe Stadium court - seating more than 23,000 people - means a roof would cost a prohibitive amount.
The site is also built on landfill and the second and third courts, Louis Armstrong and Grandstand, cannot support a roof.
The other option, building a new court, would also be very expensive and would involve major changes to the existing site in the borough of Queens.