Chris Limerick, 49, from Whitley Bay, had been receiving treatment ever since the collision on 20 January at the Number 1 industrial estate off Medomsley Road.
His Ducati bike was in collision with a Kia Picanto as the car turned next to a factory unit at about 17:30 GMT.
Durham Police said Mr Limerick died at St Oswald's Hospice in Newcastle.
Police said enquiries into the collision are continuing.
A motorcyclist has died a month after being seriously injured in a crash in Consett.