For the high luminosity LHC (HL-LHC) phase, the calorimeter end-cap of the CMS detector will be upgraded with a High Granularity Calorimeter (HGCAL). This sampling calorimeter will use silicon sensors and scintillator tiles read out by silicon photomultipliers (SiPMs) as active material (SiPM-on-tile). The complete HGCAL will be operated at $-30^\circ$C. The primary detector module in the SiPM-on-tile section is the tile module, consisting of a printed circuit board (PCB) with one or two HGCAL Read Out Chips (HGCROC) ASICs, leading up to 144 SiPM-on-tiles. For geometric reasons, the tile modules and the tiles on the tile modules will increase in size with increasing radial distance from the beam pipe. Eight variations of tile modules have been designed to cover the total area of $370$ m$^2$. This includes using two different SiPM sizes and 21 different tile sizes manufactured using two different materials. Production of tile modules for the upgrade is foreseen to start in 2024. An overview of the current status and production plans of the SiPM-on-tile section will be presented in this contribution.