The turbine would be one metre shorter than a turbine in Suffolk, the UK's tallest, owned by SLP Energy.
So far no plans have been submitted.
But the retailer has held an exhibition in nearby Wakefield to gauge public opinion and hopes to submit plans shortly.
An Asda spokesman said the turbine needed to be so tall in order to power the equivalent of 5,000 homes.
Last October Asda revealed plans to place wind turbines at six distribution centres as part of a pilot, with permission initially sought at two sites in Scotland. The chain is intending eventually to put turbines on all 23 of its distribution centres as part of its ongoing sustainability programme.