HTML5 has a new way to do this, by link prefetching
.
<link rel="prefetch" href="http://davidwalsh.name/wp-content/themes/walshbook3/images/sprite.png" />
Just add as many link
tags as you need in your HTML and you are good to go. Of course, older browsers will not load the content this way.
Note
Above code will not work for Apple Safari safari does not support prefetch til now version 12 https://caniuse.com/#search=prefetch
UPDATE
If your server is served with HTTP2, you can also add a Link
header in your response a made use of HTTP2 Server Push.
Link: <http://davidwalsh.name/wp-content/themes/walshbook3/images/sprite.png>; rel=preload; as=image;