Hi, I'm using a slim with 3.6m33 do i need to downgrade my fw in order to upgrade to 3.8m33?

Here is what i think i should do but i'm afraid to brick my psp. Please point out if there are any mistakes.

1.Copy the 3.8m33 Update folder to PSP/GAME/
2.Copy the 3.8 sony updater to the same folder(PSP/GAME/Update) and rename it to 380.PBP
3.Run the 3.8m33 update from the psp.
4.Remove the Update folder from the /PSP/GAME.
5.Copy the 3.8m33 Update2 folder to /PSP/GAME.
6.Run the 3.8m33 update2.
7.Remove the Update2 folder from the /PSP/GAME.


I think the process is the same for 3.52 M33-3 and higher versions rite?