The programme, produced by indie Somethin' Else, will play out across the GCap Media-owned network, which comprises 42 UK stations including BRMB, Invicta and Trent FM.
Kyle's new show, which begins on October 20, will feature music and celebrity guests over two hours from 10am on Saturdays, putting it in direct competition with Ross's Radio 2 show, which airs between 10am and 1pm.
Head of talent at Somethin' Else Grant Michaels said: "This is a fantastic opportunity for Jeremy and Somethin' Else. To be commissioned to produce this key network offering for The One Network further underlines Somethin' Else's expertise in music and youth and the ability to produce high quality content in all formats."
Pete Simmons, GCap Media's programme director of content, said: "Jeremy is a captivating personality and his show will provide a strong offering for our listeners on a Saturday morning. We are delighted to be working with Somethin' Else on this exciting programme."