Moyo, who has made seven first team appearances for the East Midlands outfit, will spend some time at Steel Park for the opportunity to play some first team football.
"I think this move suits all parties," said Cobbler's boss Aidy Boothroyd.
"David needs first team games to help his development. We have a number of young strikers at the club at the moment and as well as giving David the chance to play first team football, hopefully this move will help Corby Town out.
"We will be keeping a close eye on David's progress over the next few weeks and we wish him well."
The Cobblers have given 18 year old Moyo, who joins Corby for 29 days, permission to play in the FA Cup for the Steelmen.