Australia have not called up a replacement for Marsh in the two remaining one-dayers but fellow left-handed batsman Usman Khawaja, already a part of the ODI squad, will come in for the two Twenty20 matches against the same opposition.
"Shaun suffered an injury to his left little finger while fielding in the match yesterday (Sunday)," Australia team physiotherapist David Beakley said in a statement.
"An X-ray after the match confirmed a fracture and Shaun will now return to Perth to allow time for this to heal."