Waitrose Limited submitted plans to change the current premises licence at its store located in Wimborne Road, Bournemouth, BH9 2AD.
The proposal shows that the supermarket wants to vary opening and permitted hours for off sales of alcohol to 24 hours a day.
The plans for the Bournemouth store were submitted on March 13 and will remain in public consultation until April 10.
Waitrose also submitted a variation licensing application for its store located at 33 Bargates in Christchurch, BH23 1QD.
The plans show that the company has applied to vary the opening and permitted hours for the off sales of alcohol to 24 hours a day.
The proposal also indicates that the hours for the sale of alcohol for consumption on the premise would remain the same.
The plans for the Christchurch store were submitted on March 20 and will be in public consultation until April 17.
Residents wishing to comment on the applications should make representations to BCP Council licensing team before the end of the public consultation.