definitely not too much, but it might help you to try getting under the bar faster. all of your head movement doesn't have to come from lean back, either, meaning your head does not have to stay still with respect to your upper body.
imagine trying not to lean back at all. you'd have to crank your head far back in order for the bar to clear your chin. i'm using this as a visual and not a technique recommendation, but you get the idea. try incorporating a little of this into the start of your lift, and see how you like it.