Jones, who has defended his decision to stop Abdul mid-speech, claimed that there is no bad blood between the pair and that Abdul understands the rules of live television.
"When I interrupted Paula, she wasn't mad at me. It's a two-hour show, and we've got to get through it, otherwise we'll literally fade to black and won't have any conclusions, and we can't have that," Jones explained to The Daily Beast.
"I have about five producers screaming in my ear, 'Steve shut up!' I love Paula. If it weren't highly illegal, I would lock her in a box in my basement and keep her there."
He jokingly added; "She's a very attractive lady. But please don't print too much on that, because you're going to make my professional relationship with her awkward."
Jones recently denied suggestions that he is romantically involved with panellist Nicole Scherzinger, saying that the pair are only friends.
The X Factor USA was recently renewed for a second season by the Fox network.