No, you are not required to undergo a background check in order to renew your administrator's license as inactive.
Source Note: The provisions of this §745.9001 adopted to be effective March 1, 2002, 27 TexReg 965; amended to be effective January 1, 2007, 31 TexReg 9342; transferred effective July 15, 2019, as published in the June 14, 2019 issue of the Texas Register, 44 TexReg 2963