Witham or Thurrock await.
The full draw is as follows:-The U's will face either Witham Town or Thurrock in the quarter finals, with ties to be played on or before January 11th.
Having beaten Great Wakering Rovers and Billericay Town in their two games so far, the U's will be at home for a second time in the last eight.
The U's will be at home in the Quarter Finals of the Essex Senior Cup after the draw was made on Thursday afternoon.
:-Essex Senior Cup supported by BBC Essex Quarter-Finals
Barking or Braintree Town vs Harlow Town or Redbridge
Colchester United vs Witham Town or Thurrock
Concord Rangers vs Canvey Island
AFC Hornchurch vs Dagenham & Redbridge or East Thurrock United