Exeter's top scorer Jamie Cureton will be fit to face but Paul Tisdale has a question mark over fellow forward John O'Flynn.
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 said. "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 away to Plymouth Argyle 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 Argyle and then Dale to severely dent their automatic promotion hopes.
Chris Lewington faces a late fitness test ahead of Dagenham's trip
The goalkeeper missed both games over the Easter period due to back spasms after being forced off in the 2-1 defeat at Fleetwood.
Loan signing Jonathan Miles stepped in for the goalless draw at Barnet as well as the 4-2 home defeat to Bristol Rovers, but he will face a challenge for the gloves at Exeter if Lewington is cleared for involvement.
Interim boss Wayne Burnett has no new injury or suspension problems but remains without strikers Sam Williams (knee) and Josh Scott (hip), although the latter hopes to return within a week.
The Daggers have slipped to within three points of the league relegation zone following five games without a win.