Hansen is poised to join Bradford City on loan, reports Skysports.com.
The Danish custodian, who joined Liverpool from Brondby in 2006, is well down the pecking order at Anfield with Pepe Reina, Alexander Doni and Brad Jones all ahead of him in Kenny Dalglish's plans.
Hansen has yet to make a first-team appearance for Liverpool, but he is highly-rated within the corridors of Anfield.
Liverpool recently allowed Peter Gualacsci to go out on loan to Hull and they are now ready to loan out Hansen so that he can get some regular action under his belt.
Jackson told The Bradford Telegraph & Argus: "A goalkeeper is the priority at the moment. We are trying to bring one in on loan from a Premier League club.
"We're looking at the loan market because it gives us a bit of flexibility and we're keen to bring in some competition for Jon (McLaughlin).
"It's especially important because he's had 11 days off ill but he should return on Friday."
Jackson has decided not to offer a deal to trialist Mark Howard.
The City boss has now turned to former Walsall goalkeeper Jon Brain for the second time after he featured in the pre-season opener against Silsden.
The 28-year-old will line up against Hull City on Wednesday night whilst current number one McLaughlin remains sidelined by illness.