However, according to a report by Better Retailing, one Morrisons Daily franchisee - who asked not to be named - told the publication that Morrisons would have to resolve the challenges of integrating the service with franchise-partnered EPoS companies.
Last year, the supermarket chain started to roll out its loyalty scheme into 1,000 Morrisons Daily stores.
Last year, the supermarket chain confirmed it was planning to expand its convenience store footprint and open 400 more Morrisons Daily sites over the next year.
Morrisons currently has around 1,600 Morrisons Daily convenience stores, 600 of which are franchises.
Morrisons began trialling the loyalty scheme in company-owned stores in November last year, with the first one being in Sheffield.