Cureton limped off with a minute remaining in Easter Monday's 2-1 home defeat to Rochdale sparking fears among supporters that the 37-year-old could miss a chunk of the run-in, while O'Flynn's hip injury saw him sit out of the encounter altogether.
"Jamie is fine, it was just a bit of cramp at the end of the game," Tisdale told Press Association Sport. "I thought John was playing until lunchtime on Monday and then he wasn't.
"Fingers crossed he will train before Saturday - that was a loss for us on Monday having to change things at the last minute."
And Tisdale is hoping experienced midfielder Tommy Doherty will pass a fitness test before the clash with the Daggers. The Northern Ireland international's return to action at Plymouth following a back injury lasted just 45 minutes.
Former Blackpool attacker Alan Gow (ankle) has returned to light training but is at least a week away from full competitive training while Matt Oakley (shoulder) has been running again. Liam Sercombe is out for the season.
Exeter, who currently occupy the final play-off spot, endured a miserable Easter, losing to arch rivals Plymouth and then Dale to severely dent their automatic promotion hopes.