get_posts attachments exclude images under specific width

Here is the code I’m using to call the attached images of a post to show as an image slider:

$attachments = get_posts(array(
					'post_type' => 'attachment',
					'numberposts' => -1,
					'post_status' => null,
					'post_parent' => get_the_ID(),
					'order' => 'ASC',
					'orderby' => 'rand',

				));

However, as you can see with the link below, I only want to show the larger images that I upload to be use as the slider images – not the smaller logo image and image used in the content section.
https://www.stickerstork.com/portfolio/rook/

How can I add an attribute that will only use attachment images with a width larger than 1000px?

Thanks in advanced for your help!