Webster can play anywhere down the left and had previously joined the Leicestershire side from Handsworth FC.
Prior to that, the versatile player had a spell at Staveley Miners Welfare.
So far this season, Webster has scored one goal in 21 appearances.
He could make his debut for the Sheepicorns on Tuesday night at home to Bridlington Town.
Fellow newcomers James Walshaw and Paul Cooper have made their debuts in recent victories over Tadcaster Albion and Grimsby Borough respectively.
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