A Mock NFL Draft: You Pick The First Round 01/14/21 AT 11:00 AM Most NFL teams have been eliminated from Super Bowl LV contention, meaning it’s time to turn their attention to the 2021 draft. It’s pretty obvious which player will be taken first overall, but the rest of the first round is anyone’s guess. When the first round is held virtually on April 29, Clemson quarterback Trevor Lawrence is the consensus No.1 overall pick to hear his name called first. Just about every expert is predicting him to go to the Jacksonville Jaguars, who desperately need a franchise quarterback after a 1-15 season.