"The thinking is simple, the doctors told me it would take two months for my tendon to be partially healed and five months for it to be completely healed," Tsonga, a quarter-finalist in New York in 2011, said on his website.
"Two months is the length of time (from the injury) until the U.S. Open. It would be stupid to go there knowing full well that I have no chance because I'm not prepared enough."
The 28-year-old, a crowd pleaser with his acrobatics around the court, said he needed to look after himself and was well aware of what sort of injury he was dealing with.
"I know exactly what it is I have. I know exactly how long it will take me until I am back on top. It is an injury that I have had before," he said.
The year's final grand slam takes place in New York from August 26-September 9. Tsonga said he was eyeing a return to competition in Metz on September 16.
"I still have one month, it will come round fast, but I am optimistic," he said.
(Reporting by Ossian Shine and Sonia Oxley; Editing by Tony Jimenez)
