Scott Rogers' side put Sheffield FC Ladies to the sword in their opening group game when they racked up an impressive 6-0 scoreline.
And the Reds will go into this tie full of confidence after getting back to winning ways in the Women's Super League last weekend, Natasha Harding netting a hat-trick in a 4-1 victory at Sunderland.
Here's everything you need to know ahead of the Continental Cup fixture...
Where is the game being played? The match is at New Ferens Park, with kick-off set for 12pm GMT.
How can I watch the game? Click here for ticket details on the Durham Women FC website.
View from the manager, Scott Rogers
"Durham will pose a tough threat and this is potentially a very difficult game for us. I've watched quite a bit of footage on Durham but I will make sure we treat them with the same respect we treat any team. From what I've seen they are a very good side. They have a tag of being a direct side but they seem to like to play football and try and play the right way.
"They are extremely physical and good at set-plays so this will be a decent side we are up against. They are the best side in WSL 2, which is the biggest compliment I can give them. If we underestimate them and don't perform to our standards this could be a tricky game, so if we can play to our normal standards and defend well then I'm sure we can get a positive result."