Wilcox, 19, will spend the next week with the Blue Square Premier side with a view to a loan move.
The son of the former Iron defender and assistant manager Russ Wilcox, he has not featured in any competitive games for the club after coming through the youth system.
United also expect Peter Winn, another product of the Iron's youth system, to extend his loan spell at Northwich Victoria - also a Blue Square Premier outfit - to a second month.