Halfords said the new partnership with the DSA aimed to make driving test centres more accessible to the public.
The company has more than 450 superstores nationwide.
Stores at Cathcart, Bearsden and East Kilbride are currently under consideration as future test venues.
Driving tests will still be carried out by DSA examiners, who will have a special area set aside in store to meet with test candidates.The new initiative was launched by Road Safety Minister Stephen Hammond.
He said: "We are very pleased to be working with Halfords to provide a more local service for driving test candidates.
"This is a great example of working with private sector partners to provide an important local service that is convenient as well as being cost effective."
The first superstore to participate in the scheme is in Northamptonshire. But the project is expected to be rolled out to Glasgow over the next few months
Halfords commercial director, Paul McClenaghan added: "The DSA initiative is a natural fit for our business and supports our commitment to be a 'Friend of the Motorist'.
"Halfords is already a destination for motorists, who come to us for a range of automotive products and fitting services, so why not driving tests as well?"