Congratulations on the grant!
So, to my knowledge, there should not be an issue for you given the situation, unless you are not planning to move before Jan 2021. You won't start the process for the 100 two years after your application of the 309, so that gives you plenty of time. You will need to supply another fair amount of information for the 100 (not sure of police clearance from the UK would be needed).
So unless you are not planning to move within the coming year, year and a half, I foresee no issues. If you want to be sure, call Home Affairs, they should be able to take away your worries.