You're not going to mutate significantly. In time, you'll learn to place your fingers more precisely.
In some cases, this might mean placing the finger to one side rather than in the middle, because you might not need to worry about fouling the string on one side (e.g. if you're fretting it higher)
Another important thing is to put your fingers close to the fret you're playing. This allows you to press down less hard, which makes the fingers 'squish' less.
You'll also get better at feeling and hearing when you're accidentally muting a string, and be able to correct faster with less conscious thought - so your mistakes will matter less.
You'll also anticipate where you need to put your fingers further into the future, which will help you make fewer mistakes.
Sometimes I even have to 'cheat' a little by bending one string a little away from a potentially interfering finger! It takes a little time to get the co-ordination to do this.
Having said all that, you may well find that your fingers harden up a little, which may help you press a little less hard (which again avoids some of the squishing). It's probably only a tiny effect, but all these factors add up.