Spennymoor are facing fixture congestion after they were held to a 1-1 draw at home by Halesowen in the FA Trophy on Saturday.
Moors now travel to the Midlands tomorrow night for the replay, which means that their league game at North Ferriby will have to be postponed.
They still have 30 league games to play, as well as commitments in the Presidents Cup and Durham Challenge Cup - and that will ensure midweek games throughout the winter months.
Manager Tony Lee said: "We're trying to do our best in every competition we play in, but it's going to give us a bit of a headache.
"We could have won this game outright. I thought Jon Cullen's shot went in, but the officials weren't in a position to give it. We thought the ball had crossed the line."
Halesowen had the better chances in the game and took the lead after 57 minutes through Gavin Stone, and Moors levelled with an Anthony Lee penalty, following which Halesowen had a man sent off.
Steve Hutt and Cullen hit the bar in the closing minutes.
Whitby lost 4-2 at Barrow, even though they were level 2-2 at one stage. Ben Dixon and Richard Dunning scored for Whitby.
Blyth had a good 3-2 win at Moor Green, Gareth Williams, Phil Brumwell and David McMahon scoring, but they had Colin Martin dismissed for two bookable offences.
Bishop Auckland manager Brian Honour accused his players of lacking passion after they lost 5-1 at home to Matlock in the UniBond League on Saturday.
Bishops stayed in the First Division relegation zone with this result, and Honour feels that his players need more battling qualities to escape the drop.
"Some of the players didn't have enough passion," he said. "We have been unlucky on some occasions since I took over, but there was enough passion in those performances. On Saturday, there was a distinct lack of it. I can put up with a lot of things, but not that.
"We're at the halfway point in the season now, and we must have more fire in our bellies for the remaining games. We have to start games better - we conceded early goals again on Saturday.
"The only good thing to come out of the game was that the other teams in trouble also lost."
Bishops were two goals down inside the first ten minutes. Steve Taylor and Danny Holland put Matlock well in control, then Taylor grabbed a third just before half time. Stuart Irvine scored a good goal to give Bishops' brief hope, but further goals from Ian Clarke and an own goal by Shaun Hope completed Bishops' misery.
In the Premier Division, Gateshead lost 5-1 at home to Hucknall to leave them deep in trouble.
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