The former Stamford forward only arrived at the Nailers over the summer, having helped his previous club to promotion during the 2022/23 season.
He scored seven goals in 17 appearances for Belper in all competitions.
However, the Nailers - relegated from the Northern Premier League during the previous campaign - confirmed last week that the forward would be moving onto pastures new following a seven-day notice of approach.
Johnson made his Sheffield debut in Friday night's 1-0 victory over Brighouse Town.
That result saw them climb off the foot of the table and up to 18th, with the two teams above them - Grimsby Borough and Grantham Town - both falling to defeat over the weekend.
Photo credit: Sheffield
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