The social media sensation has a record of 5-0 but is yet to face a boxer with wins coming against YouTubers and ex-MMA fighters.
Paul was expected to take on Tommy Fury in December, only for Fury to pull out due to injury and illness.
Promoter Eddie Hearn was alongside Paul on Talksport to promote the upcoming clash between Katie Taylor and Amanda Serrano in April.
When asked if Paul win a world title, Hearn told Talksport: "I don't think so, but he likes proving people wrong.
"I'm not going to lie. There are so many great fighters out there. A lot of people don't know that Jake has a wrestling background, so he's spent time in combat, but he doesn't have a boxing background.
"That's no disrespect to Jake, you can't just turn to boxing and become a world champion. He will try to prove us wrong.'
Paul, who has two wins over Tyron Woodley, replied with a cheeky dig towards boxing.
He said: 'I think boxers are easier to fight than MMA fighters. They are more predictable and don't hit as hard and they can't take as big of a punch.'
Hearn responded: "I would disagree about not punching so hard. Partly with you, I don't know if you're serious or not. Like with fighting Canelo Alvarez."
Paul hit back stating: "I'm being dead serious. On my mum's life, I'm being serious. That I can contend with him, three years from now."
In response to the YouTube star, Hearn commented: 'Maybe I'll promote it.'
Paul added: "And walk away with $50m-$75m. I've seen guys go in there against him, and I say it all the time, the one guy recently goes three rounds and quits in the corner and doesn't throw a punch [Avni Yildirim].
"How much did he get paid? I have way more heart than that guy. I'm way more athletic than that guy."
Paul also revealed during their conversation that he had a poster about Eddie Hearn hanging up in his gym.
It has the words 'when are you going to fight a real boxer' above Hearn's face, in reference to what the Matchroom mogul said about Paul in 2021.
Paul said: "I look at it every day while I'm in training as he was one of the first people to say it.'
He added: "I have a long way to go and I know I can become a world champion because I've sparred against world champions."
What is next for Canelo?
Paul's call out of Canelo has to be taken with a pinch of salt. Of course he will not be fighting Paul, especially when he is at the peak of his powers.
The 2021 Ring Magazine Fighter of the Year has been linked with bouts against cruiserweight ruler Ilunga Makabu and Jermall Charlo - both remain front-runners for Canelo next.
It is believed an offer has been made to Charlo but it is now down to the American with the fight proposal being at super middleweight - one weight class above what he is currently campaigning at.
Other contenders are at light heavyweight in unified champion Artur Beterbiev, Dmitry Bivol and Joe Smith Jr. Eddy Reynoso is hoping to confirm his next opponent by the end of the month.