Tips on increasing page load times with background video?

I created a test page with an auto-play background video in one section, and did a test on the page’s load time.

The video itself added 2.7 more seconds to the page’s load time than it would be without a video background.

I used the industry’s best practices when it came to the implementation of the video in that it was:
1. Below 5 MB
2. Not HD
3. No sound, etc
4. Under 15 seconds

The page’s load time without the video was about 3.5 seconds. Any tips on how I can prevent the video from affecting the page’s load time so much? Perhaps there’s a way to make it so that the video won’t load until the entire page loads?