Joyce will serve a one-match suspension after picking up his fifth booking of the season in the 4-2 defeat against Bury last time out.
Defender Leam Richardson will also play no part as he remains sidelined with a groin injury.
Stanley have not been in action since the defeat to the Shakers, with their FA Cup third round tie with Gillingham postponed twice and the League Two clash at Lincoln called off last weekend due to the adverse weather conditions.
The Lancashire club have been working tirelessly this week to ensure the game against the Millers goes ahead, with boss John Coleman and his players helping staff and volunteers clear snow from the pitch and they are confident the game will happen.
Rotherham boss Ronnie Moore will still be without Nick Fenton with the defender serving his second of a four-match ban following his sending off against Burton as the Millers' last five matches have been postponed due to the weather.
Adam Rundle started against Bradford in Rotherham's last fixture on December 12, but the winger has since returned to parent club Rochdale.
Danny Harrison could be in line for a start in Rundle's absence, but veteran midfielder Paul Warne will not feature as he remains sidelined due to a foot injury.
Andy Liddell is also still out of contention as he continues his recovery from an Achilles problem.
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