Teenager Broadhead will remain with the Evo-Stik Northern Premier League side until February 1.
"Jack is coming on really well. He just needs to go out on loan to gain more experience," said Spireites assistant manager Leam Richardson.
Broadhead, 19, who had a three-month spell on loan at Buxton earlier this campaign, was handed a professional contract last season after progressing through the club's youth system.
- Sports & Recreation