skin between my teeth

i have braces. prior to having them i had a gap. my teeth are closing as well as expected but through these last tightenings i  have been noticing that the gum between my 2 front teeth are getting squeezed and it is elongating as well. i don't have an abnormal frenum that would need to be surgically removed but at the same time i don't see how this gap is going to close without the skin between my incisors being either clipped or pushed back.