The Shakers' clash with Stevenage was one of a host of fixtures to fall foul of the weather at the weekend and the Gigg Lane playing surface is not expected to have displayed significant improvement in time for its Tuesday morning inspection.
Defender Eastham, who made 27 appearances in a spell at Bury last term, has rejoined on loan from Blackpool until the end of the season.
Two loanees set to leave Kevin Blackwell's squad are QPR forward Troy Hewitt and Bolton winger Gregg Wylde, whose respective stays expire after the scheduled Blades encounter.
Captain Steven Schumacher resumed training on Monday after the midfielder was struck down with a sickness bug.
Andy Bishop (foot) is available after a period on the sidelines but fellow striker David Healy (groin) remains out.
Midfielder Mark Carrington is back following a groin problem, while Shane Byrne (blood disorder), Phil Picken (knee) and Adam Lockwood (groin) are all out for the season.