The Wales international, who impressed on loan with Hull City in the second half of last season, was left out of the Reds' squad to face Bury in Saturday's pre-season friendly.
Wilson directly contributed to 10 goals in the Championship between January and the end of the campaign - seven of his own and three assists - leading to rumoured interest from the likes of Celtic, Rangers, Stoke City, Derby County and Swansea City.
Klopp would not state Wilson's next destination when probed after the stalemate at Gigg Lane, but he did effectively confirm that a loan move is being lined up.
"Harry has a lot of interest in him from different clubs, so no risk now," he told the club's official website. "[Playing] with a little bit tired legs during the game, that makes no sense. So Harry has a little session at home."