According to 'The Sun', Manchester United, Arsenal and Tottenham are the three clubs chasing the signature of the 21-year-old Hoffenheim midfielder.
The aforementioned source claims that the clubs will have to bid in the region of £20m if they want to secure the services of the Germany U21 international in January, a sum which is more than affordable for the Premier League giants.
Amiri has enjoyed a strong start to the season so far, scoring four times in 18 appearances in all competitions.
The Hoffenheim youngster featured heavily for the Germany U21 side during their successful European Championships in the summer, and he came off the bench in their win over Spain in the final.
While Amiri is under contract with the Bundesliga club until June 2020, if one of the big boys in the Premier League come calling, it could be difficult to turn down for the Hoffenheim starlet.