B&M Retail has made an application to North Lincolnshire Council for a licence to sell alcohol for consumption off the premises.
The local authority is now considering the submission for the national chain's new store near Spring's Parade Brigg, which will be opening during the next few weeks.
B&M wants to sell alcoholic drinks seven days a week between 8am and 10pm.
B&M is refurbishing premises left vacant by Lidl when it built a new store in the town.
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