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Only 1,700 tickets are available to Blades' fans for the game in Devon and the club have responded to requests from supporters.
Manager Danny Wilson said: "I think it's a great decision by the club to give fans the opportunity to watch Saturday's important fixture.
"Exeter have accommodated us as much as possible, but our fans have turned out in tremendous numbers recently and it's only fair that we try and look after everyone who wants to watch the game.
"There were almost 30,000 Blades inside the Lane for Saturday's game against Stevenage and, no doubt, many, who can't get a ticket for the game, will want to watch the action as it unfolds."
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