Neither side has ever won an away league match in this fixture — with the Pilgrims having lost all five previous visits to Stalybridge.
United, who have four wins and a draw to their credit in their own home fixtures against Celtic, will also be looking to return to winning ways after successive defeats in the FA Cup with Budweiser and Blue Square Bet North.
United attacking duo Spencer Weir-Daley and Ben Fairclough will play their final matches before their respective three-match bans.
Jason Lee hopes to have full-back Gary Silk available after injury, while Mark Jones will be checked to determine his fitness after being substituted during the 2-1 home defeat to Worcester City on Saturday.
Celtic, whose starting line-up at Oxford City on Saturday included only two players who appeared against the Pilgrims last season, have won twice and drawn twice in their opening five home fixtures.
Draws against Gainsborough Trinity (1-1) and Droylsden (0-0) were followed by victories over Hinckley United (4-0) and Histon (2-1) before a 6-2 home defeat to Chester FC.
Fancy a flutter? Blue Square Bet have priced Celtic at 11/10 to record a home win, while the Pilgrims are 7/4 and the draw is priced 13/5.
BLUE SQUARE ODDS: Stalybridge Celtic v Boston United
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