It is alleged that Schulz kicked his pregnant girlfriend in the stomach in an incidentt that occurred in 2020 but the 29-year-old denies the allegations.
Schulz's former girlfriend has filed a complaint to the police about the former Hoffenheim and Borussia Monchengladbach defender.
Dortmund are waiting to established to full facts of the allegations before deciding on the next line of action.
"Borussia Dortmund has responded to yesterday's media coverage of the criminal allegations concerning Nico Schulz's private life by immediately holding talks with the player and his advisors," read an official club statement.
"The player contests the criminal allegations that have been made against him. Nico Schulz has informed us that he will defend himself against these accusations with the help of legal counsel and, in addition, calls for the assumption of innocence to be applied.
"The allegations that have been made – of which Borussia Dortmund had no knowledge whatsoever until the media reports emerged – are extremely serious and shocking for BVB.
"Borussia Dortmund takes them very seriously and distances itself from any form of violence. However, Borussia Dortmund is not party to the proceedings and has no insight whatsoever into the investigation files or the criminal charges that are apparently pending.
"As this is a pending case in its early stages, and the factual and legal situation is extremely unclear to Borussia Dortmund as it stands today, we are not yet able to make any reliable and legally watertight decisions with regard to labour law and disciplinary measures.
"However, we reserve the right to do so at any time once we objectively know more. Borussia Dortmund will not make any further comment at this time."
Schulz joined Dortmund from Hoffenheim in the summer of 2019 and has won 12 caps for Germany.