The England Under-21 international is expected to leave Bloomfield Road this summer despite turning down a move to Cardiff, but his father and manager is now keen for him to stay
The England Under-21 international rejected a move to Cardiff earlier in July as he would prefer to remain in the north west and avoid uprooting his family and new-born daughter.
Ince recently admitted his father had urged him not to feel held back by their current partnership, but the coach is reluctant to see him leave Bloomfield Road as he continues to work with a threadbare squad.
"It would be nice to keep him, obviously," Paul Ince told Sky Sports after Blackpool’s Capital One Cup exit at the hands of local rivals Preston North End on Monday.
"He's a quality player and there has been plenty of interest for him, but it just shows how thin we were on the ground today.
"We have had to play more or less the same team from Saturday. Two high intensity games - Doncaster away on Saturday and then a derby here. It just shows how light we are on the bench and how light we are strength-wise.
"We didn't really want to play [Michael] Chopra and [Steve] Davies for 90 minutes but we had to keep them on because, attacking-wise, we are short."
As revealed by Goal, Ince is holding out for a return to Liverpool, who reignited their interest in capturing their former Academy graduate last month but have not followed up with a formal bid.
The Merseysiders came close to signing Ince in January but could not agree a fee with Blackpool during what were understood to be heated negotiations with the Championship club.