The pair were both missing from the Stars' team sheet at the toss, where the Hurricanes won the toss and bowled first.
The Stars have since confirmed the pair will be rested, with the Melbourne glamour club already out of finals contention.
Hobart are fighting to ensure they finish fourth ahead of Adelaide, with the two clubs to face off in an eliminator on Friday regardless.
The match will also be played in neutral territory in Melbourne, after Cricket Australia confirmed their venues for finals matches on Thursday.
Each of the first three games will be played at Marvel Stadium or the MCG, with teams able to host home matches for the preliminary final and decider.
Perth will have Marvel for their base when they host matches, after being given the choice of Melbourne venues while locked out of Western Australia.
Teams have been primarily based in Victoria since January 10, officials electing to keep players there to simplify logistics and reduce risks of more COVID-19 disruptions.
"The League's firm belief is that we must work together with our clubs to do all we can to protect the finals series using the lessons from the season so far," BBL boss Alistair Dobson said.
"This decision provides all participating clubs the best possible chance of participating in a finals match with the strongest squad available."
TEAMS
MELBOURNE STARS: Joe Clarke, Glenn Maxwell (capt), Beau Webster, Marcus Stoinis, Nick Larkin, Hilton Cartwright, Clint Hinchliffe, Tom O'Connell, Nathan Coulter-Nile, Sam Elliott, Brody Couch
HOBART HURRICANES: Caleb Jewell, Ben McDermott, Matthew Wade (capt), D'Arcy Short, Peter Handscomb, Tim David, Mitchell Owen, Joshua Kann, Wil Parker, Will Sanders, Sandeep Lamichhane