The Sun says Paul has been trying to push the move through.
The former United midfielder spoke with Alex Ferguson earlier this week in a bid to get the 20-year-old Blackpool ace to Old Trafford.
And his intervention appears to have done the trick, with the switch on course for the New Year transfer window.
But Fergie wants him in as soon as possible and is confident of tying everything up in the next two weeks.
Ince Snr, 44, played more than 200 times for United between 1989 and 1995, winning two Premier League titles.