Is it possible to avoid the vermilion border when injecting the lips?

I had a conservative amount of filler injected into my upper lip about a week ago. I wanted to achieve a more plump look and gain more volume, which I have, but I am not too happy with the vermilion border. It’s too stale and rolled up, which gives me a slight duck look in profile. I only wanted to change the size of my upper lip, not the definition. Is it possible to avoid the vermilion border next time and inject the filler in the bottom/center of the upper lip instead of injecting it in or below the border?