The 41-year-old’s death is currently being investigated by the Independent Office for Police Conduct (IOPC) who conducted a post mortem on Mr Omishore on June 13.
It revealed Mr Omishore was holding a plastic and metal fire lighter when he was approached by two officers on Chelsea Bridge.
This differs from the initial police report which stated that he had a screwdriver.
The report declares that a taser was discharged by one of the officers prior to the man entering the river and it has been confirmed that the taser was discharged more than once.
IOPC regional director Sal Naseem said: “Our thoughts remain with Mr Omishore’s family and all of those affected by his death.
“We continue to liaise with his family and to keep them updated on the progress of our independent investigation.
“Our investigators continue to gather and analyse key evidence, including footage recorded at the scene and initial accounts from officers and members of the public.
“We would urge anyone else who may have witnessed or recorded any part of the incident, either on the bridge or after Mr Omishore entered the river, to get in touch with us without delay.
“It is important we understand all of the circumstances surrounding his death.”
IOPC investigators completed a witness appeal on Chelsea Bridge on June 11 and identified further witnesses.
The inquest was opened and adjourned by HM Coroner on June 15.
Anyone with information can contact the IOPC on 0300 3035579 or email [email protected]