Jack played for the whole game, which ended 3-3, while left-back Naysmith was taken off after a successful 60 minutes.
Naysmith has only played two matches since August due to hamstring and calf injuries, while Jack has been out for four months with a broken foot sustained while on Scotland under-21 duty.
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Hide AdBoth could be in the squad for the Clydesdale Bank Premier League clash with the Dark Blues.