Lidl is seeking permission for an extension to the Atherton Way store's car park to make 32 additional spaces available.
It also wishes to intall a new trolley bay, together with relocation and enhancement of a footway and associated landscaping, including additional lighting
Brigg Town Council has raised some concerns.
It suggests a "buffer" is needed between the footway and the Old River Ancholme for cyclist and pedestrian safety.
The Town Council suggests that to use Lidl's own land to expand the premises is fine, but the development should not impact on the footway and cyclepath.
One member of the public has written to planners, objecting to the application.
A very detailed report prepared by North Lincolnshire Council staff points to Lidl's provision of a comprehensive landscaping scheme which, it is felt, will minimise the impact of the development of a car park into an Area of Amenity Importance.
"The development proposes an acceptable replacement footpath and cycleway adjacent to the river and provides an acceptable form of pedestrian access to the store," the report suggests.
"It is therefore recommended that planning permission be granted, subject to conditions."
Councillors serving on the committee are not bound to accept an officer's report.
Their options are to grant permission (with or without conditions attached), refuse an application or they can vote to make a site meeting before reaching a decision at a later date.
North Lincolnshire Council's planning committee meets monthly under the chairmanship of Coun Nigel Sherwood (Brigg & Wolds).
Wednesday's meeting is open to interested members of the public and will start at 2pm in the Council Chamber at Scunthorpe Civic Centre, off Ashby Road.