Clarke was granted compassionate leave by Cricket Australia last week to allow him to stay at home with model Lara Bingle during her father's illness.
Graham Bingle died from cancer on Saturday at a Sydney hospital. His funeral is due to be held later this week.
Spotted: Glenn McGrath and Michael Clarke
Australia play a three-day match against a Jamaica Select XI starting on Friday before the first test begins on May 22.
Simon Katich would probably replace Clarke in the test side.
(Reporting by Andrew Stevens; Editing by Ed Osmond)
Image: Lara Bingle and Michael Clarke watch the action during the Gerard McCabe Jewellers Celebrity Tennis Challenge at the Adelaide Entertainment Centre on December 1, 2007. Photograph: Simon Cross/Getty Images