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During their three-way conversation, Bronson confirmed he believes his case will be heard soon and he will be a free man in the near future.
Bronson said: "I could be out at the end of this year.
"We've just won in the High Court, I've got a public parole hearing, I'm just waiting for the date. We're gonna smash it mate.
"Because, for the last 50 years, paroles have been held behind closed doors. Now, I've got a new law, they've got to be in the public.
"I can have the media in, I can have the public in, there's no more sweeping my case under the mat."
He continued: "My legal team, they all believe in me but at the end of the day there's only really one person that's gonna get me out, and that's myself.
"The way I've been behaving for the last few years, there's no reason why I can't get out.
"Now, if I don't get out this year, it's almost certain I'll be getting out next year, early next year."
His son described him as a 'changed man' and said he's 'got remorse' and has considered the consequences of his actions, such as taking a man hostage while serving his sentence.
Bronson added: "The average screw - prison officer - who opens my door, they'd release me tomorrow because they know I'm no danger to the public.
"I'm not a murderer or a rapist, I could live next door to anyone and they wouldn't know I was there.
"They go on about rehabilitation - I've rehabilitated myself!"
Bronson - who was born Michael Gordon Peterson - has spent much of his life in prison after being sentenced to an initial seven years for armed robbery in 1974.
Additional time was added onto that sentence for violent attacks on prisoners and staff.
After his release in 1987, he was later re-incarcerated in 1988 for planning another robbery.
His sentence was later changed to a life sentence as a result of his behaviour, although he now hopes that will all change, as he believes he has changed too.
His violent behaviour behind bars has included attacking a prisoner with a glass jug, trying to poison an inmate and attempting to strangle the governor of Wormwood Scrubs in 1987.
Describing his plans for after his release, he explained: "I'm gonna do my art, make a living with my art. I'm gonna do a lot for charities, I'm gonna do my training.
"I've got a job at the Crime Museum, so there's everything waiting for me.
"I'm not going to say where I'm going, but I'm going somewhere where there's not a lot of people and I'm right next to the seaside, and I'm just going to enjoy my life.
"I'm excited now, I'm closer now to getting out that I have been in 40 years.
He added: "I've come to that stage in my life, where I'm able to walk away. I'm polite to people, I'm respectful, I'm no danger to anybody.
"I just want to live a beautiful lovely life.
"I'm not far off 70 now, and I'd like to think when I'm 70 in a couple of years' time I should be out there enjoying what's left of my life."
All episodes of Anything Goes with James English are available to watch on YouTube now.
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