The man, from near Manchester and who asked to be identified only as John, told the BBC he expected "the far-right will do an attack".
He had since been steered away from violence by the government's Prevent anti-terrorism programme, he said.
Police said the "threat from right-wing terrorism remains relatively small".
John, who is aged 19, said he became involved in right-wing extremism four years ago, a time when he was worried about his lack of job prospects.
"They're saying 'Oh, well, if we ever get in power we'll kick everyone out and what we'll do is give all the jobs to the working class British people'.
"They kind of see that as a solution to their problems," he said.
'I would have gone to Prison'
In the weeks after the 2017 Manchester Arena attack, in which Salman Abedi carried out a suicide bombing killing 22 people, John joined other right-wing extremists in marches through the city centre.
"Seventy per cent of me was there because of the adrenaline sort of buzz but there was 30% of me there because I genuinely believed in what people were saying," he said.
"People would often kind of say 'I'm going to be the first white suicide bomber'. Whether they were being serious or joking, I'm not too sure but I definitely heard people say that they're going to do that sort of stuff.
"The far-right are becoming a lot more violent," John said.
"I can't see it being the same as New Zealand [where 50 people were killed by a suspected right-wing extremist in March], but I do think there will be another incident of some type, where the far-right will do an attack," he said.
In April 2019, security minister Ben Wallace said it was "perfectly possible" an attack like that in New Zealand could take place in the UK.
And a counter-terrorism expert previously told the BBC right-wing extremism posed the biggest threat to the north of England.
John was referred to the government's Prevent programme after expressing his anti-immigrant views at college and said the experience had changed him.
Without this intervention, John said he would have eventually got involved in "hand-to-hand" violence himself, most likely at protests with anti-fascist demonstrators.
"I would have gone to prison," he said.
The North West had the second highest number of extreme right-wing referrals to Prevent in England during 2017-18, at 216.
There were 461 Islamist extremists referred to Prevent over the same period in the region.
Jo Cox MP represented in the constituency of Batley and Spen. She was murdered in her constituency in 2016.
Right-wing extremism has been linked to violent attacks in the recent past.
Labour MP Jo Cox was murdered in her West Yorkshire constituency in 2016 by Thomas Mair, who was described in court as a lonely Nazi sympathiser.
Greater Manchester Police Assistant Chief Constable Russ Jackson said: "The actual threat from extreme right-wing terrorism remains relatively small.
"This said, it is something we take very seriously, which is reflected in the fact that about 14% of the investigations we have relate to the extreme right wing."
North West Tonight shown a story on May 7, 2019 and this documentary style footage is still available for 28 days afterwards on BBC iPlayer.
In Warwickshire, may we ask that members of the community remain vigilant and if you observe any unusual behaviour where people in your community may be involved in an terrorist activity, please report to the police.
In terms of hate crime and extreme views that a person may express, please always report any incidents that you experience or witness. You can report online via the www.reporthatenow.com website, email EQuIP on firstname.lastname@example.org or if you prefer to talk to a member of the EQuIP team, who are an independant charity you can call 01788 863117.