Officers from the Met’s Marine Support Unit recovered the body. The death is being treated as unexplained.
Although formal identification has yet to take place, detectives involved in the search for the missing 20-year-old Harvey Parker have been alerted.
Family liaison officers have informed Mr Parker’s family of developments.
A report will be compiled for the coroner.
Detective Chief Inspector Lucy O’Connor, of the Central South Command Unit, said: “Sadly a body has been recovered from the Thames near where Harvey was last seen.
“We are providing Harvey’s family with all the available information. We are also asking for media to please respect the family’s privacy at this challenging and difficult time.”
Mr Parker was last seen leaving Heaven Nightclub, close to Charing Cross station, at around 2.15am on Friday, December 17.
Days later the Met said it was searching the river following a review of CCTV in the area that indicated that Mr Parker may have entered the water near the Golden Jubilee Bridge.