The retailer has submitted a planning application for a 55,000 sq ft outlet to Antrim Borough Council, in a bid to take its number of stores in Northern Ireland to 14.
If the move goes ahead, the Antrim store will be Asda's largest in Ulster and will include a customer restaurant, electrical goods and George fashion ranges.
The superstore will be situated next door to the Junction One International Outlet Shopping Centre.
A spokeswoman said: "We submitted a planning application on 5 August for a new store. As it is Northern Ireland it has different planning procedures to the mainland and we don't have an expected date for it to go to committee. We think it will take a few months."
Last year Asda bought 13 stores in Northern Ireland from Morrisons.