Newcastle United have had discussions about taking the striker on loan for the rest of the season.
The 28-year-old is looking to get a move to help him reignite his stalled career.
Liverpool manager was today asked about the chances of Sturridge, also wanted by West Bromwich Albion, joining Newcastle.
Klopp said: "A lot will happen in the transfer market in the next few days, and we will see what happens here.
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"If it was something that didn't help us or Daniel or another club to make the deal, it makes no sense."
Newcastle last week had a Â£15million bid for Feyenoord's Nicolai Jurgensen turned down.