Despite winning the Scottish Premiership by 30 points, Celtic boss Brendan Rodgers is planning to add to his squad this summer.
Reports have claimed that the Hoops are monitoring Liverpool winger Wilson, who is billed as one of the Reds' rising stars.
Rodgers is making contingency plans in case Patrick Roberts returns to Manchester City on the back of two successful years in Glasgow.
Pep Guardiola is an admirer of the 20-year-old but whether or not he stays at the Etihad Stadium remains to be seen.
Stars who could leave the Premier League this summer Tue, May 23, 2017
Click to reveal where some of the biggest Premier League stars could be heading this summer
Play slideshow AFP/Getty Images 1 of 11
Wayne Rooney (Linked with: Everton, Chinese Super League, MLS)
Liverpool have told Celtic that Harry Wilson will not be leaving this summer
Celtic have been told Liverpool have no intentions of letting Wilson move
However, the Liverpool Echo claim Celtic have been told Liverpool have no intentions of letting Wilson move as his replacement.
It is said that Rodgers enquired with his former club whether they would be open to selling him or permitting him to go out on loan.
But Klopp sees him as part of his plans for next season and will consequently refuse to let him leave Anfield.
Get Quotes on Home Insurance
Celtic target Harry Wilson is currently in Australia with the Liverpool squad
Wilson is currently part of the Liverpool squad on their post-season tour of Australia, and played the first half of their 3-0 win over Sydney FC.
In a game where Steven Gerrard and Jamie Carragher both played, it was goals from Daniel Sturridge, Alberto Moreno and Roberto Firmino who gave them the victory.
Wilson made his senior debut for Liverpool in their 1-0 FA Cup win over Plymouth back in January and all signs point that Klopp will utilise the youngster more next season.