Chukuweze according to a report in telegraph.co.uk is among the high-profile names on the Blues list.
Borrussia Dortmund’s Jadon Sancho, Wilfred Zaha who plays for Crystal Palace and Bayer Leverkusen’s Leon Bailey are also among the targets.
Strikers Timo Werner and Moussa Dembele are also on Chelsea’s radar but the participation of their clubs in the last-16 of the UEFA Champions League would appear to make a January deal for either man difficult.
Asked in the past about Chelsea, Chukwueze said: “I was supporting Chelsea. I used to support every team that featured a Nigerian. So my love for Chelsea then was because of Mikel.
“Maybe in future, a movement is possible but right now my attention is on Villarreal. I want to focus well on my club and gain more confidence. Maybe when the time is ripe, I can move.”
Chukuweze broke into Villarreal ‘s first team last season and scored five goals in 26 league appearances.
He was also voted the Yellow Submarines young player of the season.
This season, Chukwueze has hit the back of the net three times in 16 La Liga appearances.
The 20-year-old was among the 10 players shortlisted for the Kopa Trophy for 2019 , which is Ballon d’Or’s award for the best performing player under the age of 21.
Chukuweze eventually finished in joint ninth position.