Everything for the watch has been shipping in or before the given shipping window. So you can expect it before your shipping window ends.
That said, the shipping window on my green sports band started today and I'm still in processing. I've noticed that the blue, pink, and white bands are all shipping 1-2 weeks and the green is 2-3 weeks (was 2-4 weeks when I ordered), so maybe they underestimated demand on those. Either way, it's looking like I won't get mine until the second half of my shipping window.