Willis appeared distant and confused when he spoke to Jones and her co-host Matt Baker about his movie A Good Day to Die Hard in February.
The interview garnered so much negative attention that the 58-year-old was forced to issue an apology, explaining that he "had a little sinking spell" on air.
Recalling the experience, Jones told Metro that even though Willis had been a 'friendly and warm' guest, she was painfully aware at the time of how bad the interview was going.
"He was a lot friendlier and warmer than he came across," she claimed. "He had a very dry sense of humour, which just didn't translate, and he wasn't 100% sure about the film he was promoting.
"He really wanted to create a good impression. He kept asking, 'How's this going?' and I had to say, 'Not great, to be honest'."
Jones added that she did in fact enjoy the "awkwardness" of her interview with Willis, as it was fun to "shake things up".
The former Strictly Come Dancing star also said that Willis was by no means the worst celebrity guest on The One Show.
"David Cassidy was a nightmare," she revealed. "He wouldn't shut up and we had to wrap up with him in the middle of an anecdote.
"Later on, we had these alpacas on and one of them nipped him on the ear, and I just thought, 'Serves you right'."
She continued: "Pamela Anderson was a bit of a diva. She directed all her answers to the monitor on the floor so she could see what she looked like."
The One Show was last month renewed until 2016.