According to reports in France, Maurizio Sarri's men are looking to get a deal done before Thursday's deadline.
Fekir to Stamford Bridge? The 25-year-old then made six substitute appearances at the World Cup in Russian Federation as France lifted the trophy for the second time.
The 25-year-old also attracted interest from Liverpool as the Merseysiders came close to signing Fekir in a £53m deal shortly before the World Cup begin in June but the proposed deal collapsed due to concerns over an old knee injury that was flagged up in the medical.
"I can imagine you want to hear about that, he's an outstanding talent, outstanding", Klopp told Liverpool's official website after the game at the Aviva Stadium.
We have very good midfielders, but maybe a midfielder with different characteristics.
Liverpool transfer news Jurgen Klopp must act to land Nabil Fekir
Momentum has been building on the red half of Merseyside with positive results in pre-season, as well as a very strong performance in the summer transfer window. He probably won't play Tuesday and Sunday will be very hard as well. We do not know what will happen in the future but I am very good at OL.
"I think everyone knew from his first interview he spoke very good English so the settling-in period is over for him and I think he is very much part of the squad". I feel great in the group.
"It is a bit like the French national team: a mixture of youngster and older players, with some players more experienced than others".
"Today he looked at home, he looked comfortable and when he was called upon he made the saves he had to make, so long may that continue and that will give him more confidence than he has already got and hopefully that will stand us in good stead for the season ahead".
In My Feelings Challenge originator appears in Drake's official music video
An internet sensation came full circle Thursday night as Drake dropped his video for " In My Feelings ", and it's just as fantastic as you would expect from the rap star.