With Finley Shrimpton suspended after being sent off in the FA Cup third qualifying round last week, he was suspended for their home game against Barwell in the FA Trophy on Saturday.
However, Harry Lewis came on as a 56th minute substitute to make his debut for Neal Bishop's side after joining on loan last week.
Jack Moore-Billam, who has made seven appearances for Cleethorpes Town so far, was an unused substitute in their 3-0 defeat at Stocksbridge Park Steels.