Wilson has proved his Premier League quality this season on loan at Bournemouth, which followed earlier spells in the Championship with Derby County and Hull City.
The Wales international has netted six goals in 22 top-flight appearances this term, with Klopp keenly following his progress on the south coast.
Despite his rise in form, Wilson is unlikely to receive sufficient game time at Liverpool next season due to their plethora of options and talent in attacking midfield and up front.
Indeed, according to Football Insider, Klopp has made his final decision on the player and is keen to offload him in the summer, with his valuation currently sitting at around £30m.
The source says that Klopp‘s decision has come following Jones’ recent performances in the Liverpool side.
Jones scored the winner against Everton in the third round of the FA Cup last month before netting in the fourth round tie away at Shrewsbury Town.
The 19-year-old then became Liverpool’s youngest-ever captain when leading his side in the FA Cup replay with Shrewsbury and Klopp has also handed him two cameo appearances in the Premier League.
Liverpool, who are 22 points clear at the top of the Premier League, return to action next weekend when they face Norwich City away from home, having beaten the Canaries 4-1 at Anfield in their opening game of the campaign.