If you feel the momentum during the change of directions, you will improve drastically.
There are two reasons people come over the top. Regardless of which one affects you, we want the momentum of the clubhead moving towards the ball.
Your body understands force transfer from playing other sports. Any sport where an object hits a ball teaches you force transfer. Here's how to plug that into your swing.
The Walkthrough drill is a very helpful drill to understand swinging back and through.