The quartet will take a charter flight from Hobart to Melbourne on Sunday to join their respective squads with Swepson and Neser set to be available for Heat's clash against Melbourne Stars on Sunday night at the MCG.
Swepson and Neser will provide a boost for Heat who are languishing second last on the table with three games to go. They would need to win all three with Bash Boost points in each game and have other results go their way to play finals.
The Scorchers look set to lock away top spot and the return of Marsh and Inglis only makes them stronger favourites for the title. Marsh was the Player of the Match in three of five BBL matches he played before being called up to the Test squad with scores 100 not out, 86, 42 not out to go with four wickets.