Bamba took a knock to a shoulder in last weekend's Scottish Premier League win over Kilmarnock, while Zemmama missed the game with a hamstring strain.
The same injury rules Alan Gow out on Saturday, Kevin McCann is sidelined with a toe problem, but Lewis Stevenson should shake off an ankle knock and Colin Nish is available before serving the final instalment of his staggered three-match ban.
Kick-off is at 2pm.
Hibernian (from): Stack, McCormack, Bamba, Murray, Hogg, Hanlon, Zemmama, McBride, Miller, Rankin, Stokes, Riordan, Stevenson, Cregg, Galbraith, Wotherspoon, Benjelloun, Nish, Thicot, Smith.
