Hey HD22GB,
I'm guessing you also don't have access through the web app in this case, right? It looks like you've already checked through this article based on your screenshot. To clarify, if you've completed the other requirements, it's just a matter of continuing to play full matches until that access is automatically granted.
This can differ from one account to the next depending on account and any prior game history, so there unfortunately isn't a specific timeframe we can provide for individual accounts.