Watch live by signing in with your TV provider or using an ESPN Unlimited subscription.
The is currently underway (April 23–25), and you can stream every round live through these official ESPN and NFL partners: NFL Streams | ESPN - Link 1 Live Stream Online
If you're looking to watch or other NFL coverage, here are the best legal streaming options: Stream Live NFL Games, Highlights, and Originals on ESPN Watch live by signing in with your TV
The official NFL+ app provides live streaming for the Draft and primetime games on mobile devices. Ways to Watch NFL on ESPN Online NFL Streams | ESPN - Link 1 Live Stream Online