Davis was drafted in the 17th (and last) round by the Cleveland Browns in the 1967 NFL Draft. With Paul Warfield, Gary Collins and Clifton McNeil already established as receivers, Davis was switched to a defensive role—and he did well. In his rookie year, he led the league in punt returns, averaging 12.7 yards per return, and one 52-yard return for a touchdown. He also led the Browns in returning kickoffs, with 27 returns totalling 708 yards, including one of 63 yards.