Planning officers had recommended that the 5000sq ft building in Novar Drive, Hyndland, was given the green light.
But councillors yesterday agreed to visit the site of the disused garage - part of the Glasgow West Conservation Area - to get a clearer idea of the development's impact.
The plans have attracted around 500 objections from local people and community leaders, who said it would lead to more traffic and road safety problems.
The building, which would be split between retail and office space, has been proposed by Root and Branch, part of the G1 Group owned by city businessman Stefan King.
Hillhead councillor Ken Andrew urged the committee to visit the site before making a decision, questioned the need for a supermarket in the area and raised fears at the impact on Novar Nursery.
In the same meeting, a proposal to demolish a former dairy and build 18 flats with 22 parking spaces in nearby North Kelvinside was given the go-ahead.
Opponents of that development, at the corner of Whittinge-hame Drive and Arnwood Drive, said they were "disapp-ointed" at the move, because they believe that it will cause overcrowding.