Colliders detecting colllision instead of CharacterController

HI, I have a little problem with the charactercontroller.
Currently my collisions are detected by it, but its shape doesn't fit my character since the width and length of the character are bigger than its height. For this reason when I change the radius of the CharacterController there is an empty space up and down of the character where collisions are detected and they shouldn't be.
I have some colliders on the character that fit better its shape but I don't know to make them to detect collisions instead of the CharacterController.
I'm currently using a kinematic RigidBody alongside the CharacterController, I don't know if that has something to do with this issue.
Thanks!