Arsenal and Liverpool are keen on signing the Hoffenheim star who has a £29 million release clause in his contract.
He is currently on the sidelines with torn ankle ligaments, but the Evening Standard have claimed both clubs are plotting a summer move.
Demirbay joined Hamburg in 2013 after spending the early part of his career with Borussia Dortmund II in Germany’s third tier.
He subsequently moved to Kaiserslautern on a season long loan in 2014 and went on to make 23 appearances for the club in all competitions.