The Grecians' Carabao Cup Round One clash with Crawley Town at St James Park will take place on Tuesday, 8 August, 7.45pm.
City last took on Crawley in League Two in 2021/22, with their last visit to Devon a 2-1 win for the Grecians thanks to Tim Dieng's brace. City also won 3-1 in West Sussex in the corresponding fixture.
Crawley are currently managed by former Swindon Town boss Scott Lindsey and finished 22nd in League Two last season, surviving on the final day of the season after a draw with Walsall.
Ticket details for this fixture will be released in due course.