The former Rochdale forward, who rejoined the Tigers only a month ago, ruptured his Achilles tendon just after the hour in last week's game at Boston United and is likely to be out for several months.
Manager Scott McNiven said: "Reece had an operation earlier in the week. His injury is a devastating blow to the club."
Team captain Josh Brizell misses out because of suspension.
Stalybridge Celtic have no match but boss Keith Briggs hopes the break will provide some respite for his injured players to recover.
In the Evo-stik-NPL premier division, Curzon Ashton are away to Belper Town still without the services of several players.
Alex Brown (ankle ligaments) and Danny Shaw (hamstring) may return next week. However, it's likely to be three weeks before Matty Warburton (knee ligaments) will be able to play again.
Midfielder Matt Chadwick misses Ashton United's home clash with Ilkeston with a hamstring injury which is expected to sideline him for a month. Greg Pearson and Jay Gorton face fitness tests tomorrow.
In the first division north, Shaun Holden and Adam Morning are both doubtful for Droylsden who visit Harrogate Railway Athletic.
Peter Band is hoping to have two more new signings alongside former Runcorn Linnets skipper Matt Cross in his Mossley squad at table-topping Salford City.
Arron Hevingham misses out with a bruised ankle picked up in the FA Trophy win over Warrington. John Bennett and Ryan Barrow remain sidelined, both with hamstring problems.
Glossop North End welcome AFC Blackpool to Surrey Street in the second round of the Men United Cup. Manager Chris Willcock has a full squad to choose from.