As reported from Droid-Life, the new Flash Player update is only available to those of you running Android 2.2 Froyo on both handsets. You will be able to identify the new version by it’s number as 10.1.92.10.
You won’t get an OTA update for the new version, instead you’ll have to find it in the Android Market yourself – but it should be there. No changelog has been provided with the new version, but as Droid-Life points out, it is probably just some fixes to stability.
If you have installed the new version, let us know if you notice anything different.