Top Gear first aired between 1997 and 2001, originally presented by Angela Rippon and Tom Coyne.
It was revived in 2002 in a different format and presented by Jeremy Clarkson, Richard Hammond and James May for over a decade.
Questions about the future of the show arose in 2015, when Clarkson was fired and Hammond and May also left.
The show has since been presented by Chris Evans, Matt LeBlanc and Rory Reid, and its most recent programming includes Chris Harris, Paddy McGuinness and Flintoff.
The December accident was not the first accident that occurred during filming. Flintoff was involved in an incident involving a three-wheeled motorcycle in 2019, but was uninjured.
Hammond was left in a coma after losing control of a jet-powered Vampire dragster at 280mph in 2006.
The star suffered serious head injuries and recently revealed he fears his worsening memory may be linked to the incident.
A BBC Studios spokesperson said: “A decision on the schedule of future programs will be made in due course in conjunction with BBC Content.”