The Reds have been heavily linked with a move for the England Under-21 international in recent months.
However, Rodgers has refused to rule out bringing the 21-year-old to Anfield in the future.
"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," he told Sky Sports News.
"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 signed his first professional contract with Liverpool in 2008 but left for Blackpool two years later.