The Welsh TV presenter split up from the opera singer nearly six months ago, allegedly over her "demanding" career goals.
Speaking at the Sony Radio Academy Awards earlier this week, Jones told The Sun: "There's no romance at the moment.
"It's a bit too soon for all that. I'm taking it easy. It's nice to say I'm really focusing on work."
Jones admitted that he has watched his former partner taking part on Dancing With the Stars in the US, and praised her performances.
"I've seen Katherine in a few episodes. She's amazing, isn't she?" the former Strictly Come Dancing contestant said.
"She's a brilliant dancer, and I said to her at the start that there's no doubt that she'll go on to win it and they'll love her over there."
Jenkins made it through to the finals of the dancing competition on Tuesday night, despite injuring her back in her latest performance.
The singer recently dismissed claims that she was looking for love while appearing on the show.