Pulisic has been linked with Liverpool and Chelsea and is approaching the final year of his contract.
Dortmund have been insistent he will not leave in January despite the cut price he would go for in the summer if he remained.
Pulisic is keen on a move to the Premier League and is said to prefer a switch to Liverpool.
And the Reds may have been given a boost with Dortmund now making a move for their replacement.
According to RMC Sport Dortmund have contacted Borussia Monchengladbach about Thorgan Hazard.
The former Chelsea man, and Eden Hazard’s brother, has been in fine form in the Bundesliga this term.