The Chelsea forward is one of the most sought after youngsters in England, with Bayern Munich failing in a bid to sign him in January.
Chelsea turned down four transfer offers for Hudson-Odoi amid claims Liverpool were also tracking the Englishman.
Borussia Dortmund have now entered the race for Hudson-Odoi, but SportBild claim Liverpool have not given up on poaching the 18-year-old, who was called up to the England senior team this week for the first time.
Liverpool were monitoring Hudson-Odoi before Bayern firmed up their interest, but decided against entering into a bidding war with the Germans during the winter window.