Adam Stanmore, 37, was last seen on Horspath Road on 18th May.
Police say officers conducting the search found a man's body in woodland off Grenoble Road, Greater Leys, yesterday evening.
Although formal identification is yet to take place, police believe it to be Mr Stanmore.
The death is being treated as unexplained but not suspicious and Mr Stanmore's family have been informed and supported by officers.
Investigating officer Detective Inspector James Senior, of Force CID based at Oxford, said: "Sadly, officers located the body of a man which is believed to be Mr Stanmore, and his next of kin are aware.
"The thoughts of Thames Valley Police are with Mr Stanmore’s family at this difficult time.