Graham Bingle, who had been battling cancer, died on May 10 at a Sydney hospital.
Clarke is supporting fiancé Lara and her family with a funeral, which expected to be held later this week, the Sydney Morning Herald reported.
The 27-year-old Clarke, promoted to the Test vice-captaincy following Adam Gilchrist's retirement, cited family reasons for not joining the Australian squad as they departed for the Caribbean on Saturday.
Australia start their tour with a three-day match against a Jamaica XI starting on Friday in Kingston.
NSW captain Simon Katich, who was named in the Test squad as a reserve batsman, is likely to move back into the side if Clarke isn’t available for the first Test.
Clarke’s father Les is suffering from Hodgkin’s disease. (ANI)
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