There’s certainly no hurry for any team to sign a drafted player in the National Football League. Rookie deals are already slotted, per the collective bargaining agreement, which means every player knows how much they will make the moment they are drafted. Other than offset language in a contract, there’s very little wiggle room for any negotiations to take place.
Not only are contracts are basically set for any drafted rookie, but the current NFL landscape is paused on any in-person activities. It’s not as if rookies are being asked to perform drills or practice with the worries of not being under contract hanging over their head.