Please Wait . . .
The likes of Bayern Munich, Real Madrid, Juventus and Paris Saint-Germain have all been linked with the 24-year-old, but he hinted that the Premier League would be his ideal next destination in February.
Werner suggested he would be a "good fit" for Klopp's system at Liverpool, who currently boast the Premier League's most feared forward line.
Thompson understands those who doubt whether Werner would have usurped Roberto Firmino, Sadio Mane or Mohamed Salah at Anfield, but he believes the Leipzig star would haveproven a worthy investment for the Reds as they strive to maintain their recent success.
Asked about Werner's impending move to Chelsea, the Liverpool legend told Sky Sports: "I think you should always try and improve.
"When you’re on the up, when you’re playing well, that is when you should look to back it up.
"I would have loved to have seen him come but Liverpool have not done that, they’re looking at it and it’s probably costing too much.
"Timo Werner will be going, 'Maybe I might not get in there'and maybe Jurgen Klopp is thinking, 'We can’t afford to have somebody for that price just sitting on the bench'.
"He’ll Werner be alright for three or four years and I would have taken that risk.
"If he wanted to come I think you have to improve your team when you’re on top and he would have improved us."
Werner has hit 25 goals in 31 Bundesliga appearances for Leipzig in 2019-20, while also laying on eight assists, helpingJulian Nagelsmann's side rise to third in the table.