Host Simon Rimmer, 56, then joked that Bradley was “embarrassing”, before Tim Lovejoy, 51, queried: “Do you wish you had a talent Bradley?”
Tim’s flippant remark happened as The Chase star sipped his drink.
As he struggled to contain his laughter, he spat out some of the beverage into a mug.
“That’s how you do comedy,” Barney, 23, chimed, which prompted Bradley to laugh even more.
The ITV regular, who had the best selling debut album in the UK back in 2016, and his son were on to discuss their show Bradley Walsh & Son: Breaking Dad.
As part of their eventful journey, viewers recently saw the pair undertaking astronaut training.
Reflecting on the moment, Barney admitted he was worried for his dad as he believes they took it too far.
Speaking on This Morning, the son of the Doctor Who star said: “I don’t wanna spoil it because it’s in a later episode but there was one point that I thought I’d taken it too far.
“I was surprised,” he divulged. “I didn’t think it would catch on like it did.”
Barney added: “We ended up inspiring families, which I loved, I thought that was incredible.”
As well as facing his fears, the father-of-two will also be hosting the return of The Chase this evening.
Ahead of its return, the host fronted new show Cash Strapped, which replaced The Chase temporarily.
Speaking of the new series of The Chase recently, the host teased that viewers will see a new chaser on the show.
“It’s a great format. We have great fun,” he said on Good Morning Britain.
“We don’t really use auto-cue. As soon as we press the juice button to go, we fly with it and we play the game.
“That’s what’s brilliant about the show. It’s accessible and people love it. It’s really taken on board.
“We’ve got a brand new Chaser coming into another new series now so it just goes on and on.”
The Chase returns tonight at 5pm on ITV.