Schurrle has experience of playing in the Premier League, winning the title with Chelsea in 2015 following his arrival from Bayer Leverkusen in 2013.
He spent a season and a half at Stamford Bridge before returning to the Bundesliga with Wolfsburg in February 2015.
The winger then moved to Dortmund the following year.
He was also part of the Germany squad that won the World Cup in Brazil in 2014.
Numerous clubs were interested in acquiring Schurrle’s services this summer and it appears Fulham have won the race.
According to Sky Sports News, the 27-year-old flew to London on Tuesday night ahead of a medical with the Cottagers.
The broadcaster claims that Schurrle was impressed with Fulham’s passing style as (don’t need the word the here!) Slavisa Jovanovic’s side earned promotion to the Premier League via the Championship play-offs.
Yesterday, Fulham confirmed the signing of goalkeeper Fabri from Besiktas in a £5million deal.
He became the club’s third new arrival this summer following the signings of Maxime Le Marchand and Jean Michael Seri from Nice.
“I’m delighted to be at an historic club like Fulham, the oldest club in London,” Fabri said.
“I’m very happy to have the opportunity to be in the Premier League with Fulham.
“Everything is very positive for me and I want to take the opportunity to make the most of this goal of being in the Premier League.”