The 800 Cruise Street building would see the expansion of Pizza Grocery into part of the retail space and a new entry to the restaurant.
Owner Jimbo Bryant said the restaurant would use the additional space for a new waiting area. Work is planned in several phases, and the remaining retail space could see other uses in the future.
The propose entry includes double doors and a canopy.
The commission passed a motion approving the concept of the plan and authorizing the chairman to sign the certificate of appropriateness when it is submitted and found to be consistent with the conceptual drawings. The proposal will also go to the Board of Aldermen for consideration.
The Bryant family purchased the 1920s Alcorn Wholesale building in 2002 and opened the pizza business and moved JB Outdoors there.
Bryant, who sits on the preservation commission, said he and his wife have operated JB Outdoors for 13 years. Their son, Joshua, runs the pizza business, which will be the focus going forward.