Gill, 19, arrives at the Lane on a short-term work experience loan to cover for the injured Finley Iron and recently signed Niall Conroy.
He has progressed through United's youth set-up and has this season also had similar loan spells with Haverhill Rovers and Godmanchester Rovers.
Gill made his first team debut during Saturday's FA Trophy defeat at home to Nuneaton Borough.
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