Bradley spent a month on loan with Stamford in December and January this season from Gainsborough but left the conference north side in search of regular football.
He joins up with his brother Kieran who joined the Daniels two weeks ago from Basford United. The pair have played together at Gedling, Handsworth and Long Eaton.
Fellow striker Sam Hollis has joined UCL side Deeping Rangers on loan to get game time under his belt.