The Justin Lee Collins: Good Times host has previously said that he does not want the model to appear on his series.
Asked if the rumours that he had banned her were true, Collins told New: "Yes, there is some truth in that. I was asked if I'd have her on and I was like, 'I'm just a bit Jordan-ed out'. As I think we generally all seem to be."
However, Collins added that he would be happy to have Price's husband Alex Reid on the show.
"I think the reason he did well on Celebrity Big Brother is because there seems to be an honesty there," he said. "I want guests who are going to be honest, not ones who deliberately want to upset people or be outrageous just for the sake of it. The show is called Good Times after all."
Justin Lee Collins: Good Times continues on Monday at 10pm on Five.