The visitors, who have won the competition on three occasions, are aiming to progress to the third-round for the third consecutive campaign.
Match preview
As a 2.Bundesliga team, Darmstadt may go into Tuesday's cup tie as underdogs, but their form this season suggests they have the ability to pull off an upset.
Since losing to Jahn Regensburg on the opening day of the season, Darmstadt have embarked on a 12-game unbeaten run in all competitions.
In that period, they have won nine games, including a comfortable 3-0 victory in the first-round of the DFB-Pokal against Ingolstadt.
Darmstadt will face a much tougher opponent on Tuesday, but having avoided defeat in all six of their games at the Merck-Stadion am Böllenfalltor this season, they will look to make the most of home advantage.
The 2.Bundesliga leaders also have the chance to claim a fifth straight competitive victory after they came from behind to beat Karlsruhe at the weekend thanks to goals from Patric Pfeiffer and Phillip Tietz.
SV Darmstadt 98 DFB-Pokal form:
W
SV Darmstadt 98 form (all competitions):
D
D
W
W
W
W
Borussia Monchengladbach DFB-Pokal form:
W
Borussia Monchengladbach form (all competitions):
L
D
W
L
W
D
Team News
Mathias Honsak, Fabian Schnellhardt and Klaus Gjasula are all expected to miss out for the hosts due to injury issues.
Torsten Lieberknecht may opt to name an unchanged lineup for Tuesday's contest, which would ensure that Jannik Muller, Christoph Zimmerman and Pfeiffer continue to operate in a back three.
Tietz has scored seven goals in all competition this season, and he will start in the forward line alongside Braydon Manu.
SV Darmstadt 98 possible starting lineup:
Schuhen; Muller, Pfeiffer, Zimmerman; Bader, Kempe, Ben Balla, Holland; Mehlem, Manu, Tietz
Borussia Monchengladbach possible starting lineup:
Lineup here