How to unlock cursor while moving the character?

So, I'm rotating camera around my character by moving the cursor left-right. The cursor is always visible, but I'm only able to move it while character is not moving. If the character is moving, cursor locks. But if I press any random button (i.e. V) while holding down the button for moving (i.e. W) cursor unlocks and I can rotate the camera while the character is still moving. If character stops and then starts moving again, the cursor is locked and I have to press a random button again to unlock it. I want the cursor to be unlocked all the time. I've tried few thing using Screen and Cursor classes but they don't seem to work. Any ideas how to fix this?