Scrolling effect with Parallax using video

I'm studying effects with Parallax and I'm trying to display a video in the background instead of an image. So I was able to create a nice effect using background image.

Here is my jQuery code:

$('[data-parallax]').each(function(){
  var $this = $(this),
      $window = $(window);

  $window.scroll(function() {
    var y = -($window.scrollTop() / $this.data('speed')),
        background = '50% '+ y + 'px';

    $this.css('background-position', background);
  }); 
});

And my CSS :

[data-parallax] {
  background-attachment: fixed;
  background-color: #fff;
  background-image: url('http://lorempixel.com/720/480');
  background-position: 50% 0;
  background-repeat: no-repeat;
  background-size: cover;
  min-height: 100%;
  position: relative;
}

Example: link
Code: link

I'd like to do the same thing, but using a video instead An image. Is this possible?