The 21-year-old Welshman enjoyed a successful spell at Hull City last season, where he scored seven goals in the Championship. He has returned to Melwood this week and is looking to force his way into Jurgen Klopp’s plans for the 2018/19 season.
Liverpool are concerned about Celtic’s use of loan signings and are therefore reluctant to send Wilson to Celtic Park.
Celtic signed Patrick Roberts and Charly Musonda from Manchester City and Chelsea respectively but both of them found limited opportunities last season.
While Roberts was absent for a big part of the season with injury, Musonda was recalled just six months into his 18-month loan spell due to a lack of playing time.
Liverpool want to make sure that Wilson will get regular game time and a starting spot wherever he joins.
Wilson would have been a fantastic singing for Celtic, and failing to lure him to Parkhead is a big blow for them.