Can the tension of a compression garment over an incision worsen the scar appearance while it's healing?

My IMF was lowered during my previous implant surgery. I just had implants removed with no replacement. I am hoping not to develop a double fold & would like to get back my naturalfold. To reduce the likelihood of a double fold, its been suggested to wear a compression band (or a tight sports bra band) right where my old breast fold was. This band goes over my IMF incisions/scar. Would the tension of this compression band worsen the scar appearance while its healing? Don't want to hurt the scar.