The 1970 DFB Pokal champions, who lead Germany's Regionalliga Sudwest, had Friday's league fixture away to Homburg postponed, after heavy rain left the pitch unplayable.
It means Offenbach will face Gladbach having not completed a competitive game since December 2 due to the German fourth-tier's extended winter break, while the Bundesliga visitors will arrive with eight matches under their belt this year, including Sunday's clash with Paderborn.
But Offenbach's coach Rico Schmitt refused to get too down about his team's situation, telling the Offenbach Post: "Then our launch is just the DFB Pokal match at a packed stadium.
"Who else can say that in our league but us?"
Offenbach defeated Cologne 2-1 in the 1970 DFB Pokal final - the greatest day in the Hessen-based club's history.
Schmitt's men have accounted for Ingolstadt and Karlsruher in the opening two rounds of the cup competition.
Dortmund were woeful in the first half of the Bundesliga season but Jurgen Klopp's team have won their past four league games to surge into 10th position.
The Bundesliga's leading two clubs will be in action on Wednesday with Bayern Munich hosting Eintracht Braunschweig and Wolfsburg visiting Red Bull Leipzig.
