The September security update has been reaching more and more Galaxy devices as the days go by, with Samsung not letting its preparations for One UI 4.0 get in the way of making sure its smartphones get the latest security enhancements as quickly as possible. The flagship Galaxy Note 10 and Galaxy Note 10+ are among the devices that have received the September update, and it is now expanding to the Galaxy Note 10 Lite.
In addition to bundling the September security patch, the contents of which are currently unknown, the latest Galaxy Note 10 Lite update is probably based on One UI 3.1.1. You won't see the new version number in the phone's software information after the update is installed, but if you find a new Bedtime mode toggle in the notification after upgrading, you will know this software release is similar to the One UI 3.1.1 upgrade that the Galaxy Note 10 and Note 10+ got last month.
As for the Android 12-based One UI 4.0, all Galaxy Note 10 series handsets are eligible for it. Going by Samsung's update policy, only the Galaxy Note 10 Lite will make it to Android 13, though if Germany has its way, you could see security updates for your Note 10 smartphone till 2026-2027 (but don't count on it).
As usual, the latest update is available over the air from your Galaxy Note 10 Lite's Settings » Software update menu. Our firmware archives are also ready to assist you if you wish to upgrade your phone manually using a Windows PC, though you will need to make sure you pick the right firmware for your country.