Tickets, which went on general sale on Friday after previously being available to season ticket holders and loyalty scheme members, sold out early on Monday morning.
A win for the Iron at Blundell Park could be enough to take them back to the top of the League - with games against Bristol Rovers and Shrewsbury left to play.
United ran out 2-0 winners over the Cods at Glanford Park earlier in the season, with Paul Hayes scoring both goals in front of a bumper crowd of 8,054.
Grimsby lie 17th in the League Two table, and cannot be promoted or relegated.