All colleagues from the two existing stores will remain with the business, with Hartlepool manager Mark Slater set to head up the new-look team of seven.
The shop, which will have five customer desks and will offer a full foreign exchange service, will open its doors on Friday 18 September in the town's M Parkway Shopping Centre.
The shopping centre posted a picture of a window poster advertising the new store last week with the caption: "Coming soon to M Parkway."
David Chambers, Dawson & Sanderson's Managing Director, said the decision to combine the two branches came in response to changing shopping habits.