The Hammers are close to an agreement with Dortmund to sign Fullkrug, who has entered the final two years of his contract.
Final details on the deal are being sorted between the clubs, notably on the structure of the fee. Elements of the player’s personal terms are also being finalised.
There’s now growing optimism a deal can be struck for the Germany international after West Ham were unable to find an agreement with Aston Villa for striker Jhon Duran.
Interest in the Colombian striker remains, but – as it stands – there is a big gap in valuation. The previous proposal, which offered cash plus Lewis Orford, now seems to be off the table, with the West Ham midfielder understood to be discussing a new contract.
Sky Sports News understands Fullkrug is open to a move to the London Stadium.
The Hammers tried to sign Fullkrug last summer, however, the 31-year-old moved instead from Werder Bremen to Dortmund, where he scored 15 goals in 43 appearances, with three coming in the Champions League as the Bundesliga side reached the final.
The 31-year-old’s form led to a call-up for Germany’s Euro 2024 squad and he netted twice in five appearances during the tournament.