The England U21 international has been linked with the Reds for the past couple of months but no deal appears to be on the horizon.
However, Rodgers has not ruled out a move for the 21-year-old at some time in the future.
He said: "I think it will be difficult now. We could still do the deal but it looks like one that is a bit too complicated at this stage.
"It's about affordability as well. If Tom stays at Blackpool it doesn't mean he won't join Liverpool at a later stage."
Ince, who left Liverpool for Blackpool in August 2011, has also been the subject of a bid from Reading this week but Royals manager Brian McDermott has ended his interest because the Seasiders do not want to sell their star player.
"Thomas won't be coming here," McDermott said. "Blackpool are very strong about wanting to keep him. I'd be amazed if Blackpool lose him in this window. My gut feeling is they've managed to keep him."