The presenter, who also starred alongside Richard Hammond in the BBC series, said the trio didn’t want trolls who send death threats as fans and suggested they should go “kill themselves” instead.
“Obviously I don't actually want people to kill themselves,” he quickly clarified.
If you're one of the people sending death threats to @sueperkins could you please do the world a much bigger favour by killing yourself.James May (@MrJamesMay) April 15, 2015
Obviously I don't actually want people to kill themselves but, really, we don't want them as fans.James May (@MrJamesMay) April 15, 2015
Perkins, who presents The Great British Bake Off, was among several household names being touted for the position following the former host’s sacking in March.
She denied the speculation, tweeting to one fan’s question as to whether or not she would be taking on the role.
She wrote: “A. It is obviously IS against me and B. I am not. So rest assured!”
But that didn't stop the flow of wrath from angry Top Gear fans, who she claims have bombarded her:
Guys, post the utterly fabricated story about me and Top Gear, my timeline has been full of blokes wishing me dead...Sue Perkins (@sueperkins) April 14, 2015
This morning, someone suggested they'd like to see me burn to death.Sue Perkins (@sueperkins) April 14, 2015
Perkins has since announced she’s decided to take a break from the social media site.
All of which goes to say that I am off Twitter for a bit. Love and peace xSue Perkins (@sueperkins) April 14, 2015
Clarkson was let go by the BBC after an internal inquiry found him guilty of punching a show producer in a row over catering arrangements.
Things you never knew about Top Gear
Things you never knew about Top Gear
1/14 Top Gear isn't really for adults
It's 'aimed at people with a mental age of nine', according to executive producer Andy Wilman.
2/14 Planet Earth loves it...
Top Gear is screened in more than 100 countries worldwide and has millions of fans.
3/14 ...but not all motoring hacks do
You might think Jezza was a hero of the motoring hack world but that's not strictly accurate. Telegraph journalist Neil Lyndon summed Top Gear's 21st birthday last year up well: 'Does that mean Billy Bunter and his gang finally get forced out of the Fourth Remove and into long trousers?'
4/14 The Top Gear theme tune is a classic rock song
Seven-minute instrumental 'Jessica' by The Allman Brothers was a hit in 1973. Top Gear has recorded its own version now but used part of the original recording at first. One for the road trip playlist.
5/14 Jeremy Clarkson couldn't get much more controversial if he tried
The presenter is currently suspended from the BBC following a 'fracas' with a producer over a steak dinner. Past scandals include a string of racism allegations.
6/14 This Porsche caused all sorts of trouble in Argentina
The Top Gear team were forced to flee Argentina after locals took offence at the car's number plate - believing it was a deliberately provocative reference to the Falklands War of 1982.
7/14 If it's car-buying advice you want, look elsewhere
It's an in-joke in Top Gear that they don't do car tests. You would be mad to make a purchases based on Jezza's verdict.
8/14 Richard Hammond had a near-death experience filming Top Gear
The 'Hamster' was filming a Top Gear segment in a dragster called Vampire when its front-right tyre burst at 288mph. Hammond spent two weeks in a coma but luckily went on to make a full recovery. He requested that no mention of the crash was made in future Top Gear episodes.
9/14 Jeremy Clarkson is more than a little bit taller than Richard Hammond
Nine inches, to be precise.
10/14 Top Gear used to offer real advice
Before these lads took over, it was a real car-reviewing show with presenters such as Angela Rippon, who gave practical reviews of down-to-earth workhorses such as Cavaliers or Mini Metros.
11/14 Those 'reasonably priced' cars take quite a battering
Denis Chick, of Vauxhall, is brave to have lent the show a fleet of his Astras. He said: "Vauxhall Astra sales would not improve if everyone drove like Jimmy Carr around the Dunsfold track." The comedian hilariously took his test car's front off-side tyre clean off its rim.
12/14 Jeremy Clarkson is a YouTube star
Stray down the motoring internet hole and you'll find lovingly posted videos of 'Clarkson the early years' with incredibly loud hair reviewing 1990s cars in an oddly sensible manner. Very disturbing viewing.
13/14 There have been multiple Stigs
Racing driver Perry McCarthy was stuntsman The Stig on the first two series of Top Gear - here's the man under that famous helmet.
14/14 Ben Collins was The Stig for eight years
Ben Collins was The Stig on Top Gear for eight years. He left amid a clash with the BBC when he unmasked his identity and published an autobiography. Collins thinks Top Gear has 'lost some of its sparkle'.