The BBC Top Gear drama shows no signs of abating with Jeremy Clarkson's new motoring show set to go head to head with his former program.

According to a report by the UK Mirror, Clarkson and former Top Gear hosts James May and Richard Hammond have all signed on to present a new motoring show for English broadcaster ITV.

The creators behind the trio's new show are reportedly so assured of its success, they plan to run it directly against Top Gear in the Sunday night timeslot.

"The boys believe with the backing of ITV and a prime-time slot they can easily match, and probably beat, their BBC2 viewing figures," a source close to the negotiations said.

"The thought of making a show for the BBC's main rival is very appealing for them."

Hammond, May and Clarkson reportedly "jumped at the chance" to compete against their old show, with Clarkson hoping to make the show as "anarchic, edgy and funny" as Top Gear was before he was sacked.

If the claims are true, the new program will create a major headache for the BBC, which announced English presenter Chris Evans as the replacement Top Gear host earlier this month.

Hammond and May refused to continue hosting Top Gear after Clarkson was fired in March for assaulting a producer, and have also left the program.

Despite being between networks, the three men are still a juggernaut in the motoring world and will tour Australia next month for their live show Clarkson, Hammond and May Live.

Earlier reports suggested ITV and American streaming giants Netflix and Amazon were vying for the rights to a new show which would undoubtedly be a ratings boon for the winning network.

More than 350 million people worldwide watched Top Gear each week, giving Hammond, Clarkson and May a massive, highly lucrative following.

More than four million viewers switched off from BBC after the broadcaster decided to pull the final Top Gear episodes after Clarkson's dismissal.

The special 75-minute Top Gear finale aired on the BBC on Sunday and was compiled with footage shot before Hammond, May and Clarkson left.

Clarkson tweeted his thanks to Top Gear's fans after the program ended and said he was "so sad and sorry it's ended like this".

Top Gear airs on BBC Knowledge on Monday.

Clarkson, Hammond & May Live is at Perth Arena, July 18-19, and Allphones Arena in Sydney, July 25-26, see clarksonhammondandmaylive.com.au.