Is there a maximum level for new player Daily Play rewards?

So when you make a new account or are a low level, you get to choose a champion per class (adc, support, mage, etc) after your first game of the day. My smurf is lv. 11 atm and I was wondering if there's a specific level where these rewards cannot be earned? I've earned 1 days worth of them (free Ezreal) since the account isn't exactly fresh and was wondering if I'd miss out on the free Thresh (day 4), Ekko (5), or skin (7) if my account got too high level from grinding? [sg-lux-2]