If he finishes the year strong I could see someone going after him with a 6th-7th round pick. I hope someone gives him a chance. I think he could be a solid back-up option for someone.
He's great in a lot of aspects, but not elite enough to go any higher than 5th for an NFL franchise. He's not short by any means, but being 6'4" would greatly improve how he's viewed. Also, if his release was quicker and velocity was higher, I would feel confident about him being drafted. As it stands, I could see him getting a lot of passes batted down in the NFL.
FWIW, this post is intentionally pessimistic to prevent myself from my annual NFL Draft disappointment.