Matt Calland’s men have won their last four competitive fixtures, coinciding with the recent arrival of Brian Noble at The Shay.
Victory on Sunday would help to maintain their play-off hopes, but second-placed Batley will be no pushovers.
Calland warned: “Everyone wrote us off earlier in the season, but we have come from nowhere in the last six weeks.”
Reittie is hoping to overcome a back injury that kept him out of the recent win over Hunslet, while Williams is on the verge of recovering from a shoulder problem.
Harrison said: “Daley is a chance for our game against York, which would be a massive boost for us.”
Like Halifax, Batley have also won their last four games. Their most recent defeat was 28-18 loss against Huddersfield in the Carnegie Challenge Cup.