A body found in the canal at Transport Avenue, Brentford is believed to be that of Mohammed Khalif.
Mohammed, 24, from Northcote Avenue, Southall, had been reported missing since Sunday, December, 21.
He had last been seen leaving Ealing Hospital on Sunday.
His family and police had been deeply concerned as Mohammed suffered from epilepsy and was thought not to be in possession of any medication for his condition.
A post-mortem of the body, which was found on Tuesday, December 23, was due to take place today at Fulham Mortuary.
The body has as yet not been formally identified and the death is not being treated as suspicious.