Police were called at 6.40 last night to the river at Barge Walk.
It was reported that a man had got into difficulty after entering the water to swim.
Marine Policing officers, London Ambulance Service, London Fire Brigade, the RNLI and the National Police Air Service all searched the area.
At around 12:20pm today, the body of a man was recovered by police officers from the river at Barge Walk.
Formal identification awaits, however officers believe this is the man who entered the water on Sunday.