The report claims a £20m bid by Chelsea has been accepted, and Bayer Leverkusen's CEO and sporting director are now in London to put the finishing touches on the deal.
Chelsea had a £14m offer turned down last summer, but it's thought their improved bid has been successful this time around.
Speculation mounted that on-loan starlet Kevin De Bruyne would be included as part of a swap agreement for Schurrle, but the report claims a straight £20m bid is thought to have been agreed.
However, the transfer could involve De Bruyne moving to Leverkusen on a season-long loan next season as a temporary replacement for Schurrle. Borussia Dortmund are also in for De Bruyne, and are thought to be willing to offer £15m, which could complicate the arrangement.
But Bayer Leverkusen CEO Wolfgang Holzhauser and sporting director Rudi Voller have now travelled to England to thrash out the small print on the Schurrle deal.
If the signing is confirmed, it will see Schurrle link up with Chelsea at the end of the season.
He's bagged 11 goals in 38 appearances for the Bundesliga side this term - primarily operating on the left of a front three.
The 22-year-old was part of Joachim Low's Germany squad at Euro 2012, and he has 22 caps and seven goals for his country.
His agent is expected to arrive in England on Friday as the two parties look to agree personal terms, but the Daily Mail claims a five-year contract is likely.