Wimpy franchise sales director Iain Cameroon said there were already 10 kiosks under trial across the UK, including one at a Londis, and one at a Spar.
The offer is now ready to roll out nationwide.
Cameroon said: "Wimpy developed the concept three years ago, but only now is it time to push it out. We can manage it now."
Kiosks have a limited menu, and require 130sq ft for a kitchen area, and 130sq ft for storage.
They cost £45,000 to set up.