In the 1981 NFL Draft, Taylor was drafted by the NFL's New York Giants in the first round as the 2nd pick overall. In a poll of NFL General Managers (GMs) taken before the draft 26 of the league's 28 GMs said if they had the first selection they would select Taylor. One of the two GMs who said they would not take Taylor was Bum Phillips, who had just been hired as coach and general manager by the New Orleans Saints. As fate would have it for Taylor, the Saints were also the team who had the first pick in the draft. Giants GM George Young predicted before the draft that he would be better than NFL legends such as Dick Butkus: "Taylor is the best college linebacker I've ever seen. Sure, I saw Dick Butkus play. There's no doubt in my mind about Taylor. He's bigger and stronger than Butkus was. On the blitz, he's devastating."