The Blues are keen to secure the Wolfsburg teenager as soon as possible.
Per football.london, European transfer reports state that Arsenal, Brentford, and Leicester City are also in the race.
Odogu has impressed for Wolfsburg's youth teams and reserve side so far in his career.
He has yet to play for the first team, but is already considered a potential star.
He was a key part of the Germany Under-17 side that won the 2023 UEFA European Under-17 Championship and the 2023 FIFA U-17 World Cup.