But singer still isn't on speaking terms with Jordan
The couple separated last month after three and a half years of marriage.
‘There are rumours that Kate and I are getting a quickie divorce and will all be over in six weeks,’ he writes in his new! diary.
‘That’s news to me. I didn’t even know you could get divorced that quickly!’
But Pete, 36, and Jordan still aren’t on speaking terms.
‘It is looking unlikely at the moment that they will be able to sit down and talk,’ says Pete’s rep.
‘We are all hopeful but it is getting more unlikely.
Katie Price And Peter Andre: The Next Chapter Stateside airs on ITV2 on Thursdays at 9pm.