The Germany striker has been heavily linked with a move to the Premier League amid interest from the Blues, Liverpool and Manchester United.
Liverpool were thought to be the favourites to sign the 24-year-old, who has publicly praised Jurgen Klopp’s runaway Premier League leaders as the ‘best team in the world’.
But the Reds have cooled their interest in recent weeks as they reassess their transfer options due to the coronavirus pandemic.
Now Chelsea have moved in and Werner is ready to join Frank Lampard’s side.
Werner is understood to have already agreed terms on a long-term contract worth almost £200,000-a-week and the club are in talks with Leipzig to thrash out a deal.
The Germany international has a £53million release clause in his contract which expires in less than a fortnight and Chelsea are expected to pay the full fee.
Werner will become Lampard’s second signing after Chelsea’s transfer ban was lifted in January. Dutch winger Hakim Ziyech is also moving to Stamford Bridge this summer from Ajax in a £33m deal.