become a paratrooper. NFL career Los Angeles Rams The Birmingham Stallions selected Greene in the 1985 United States Football League Territorial Draft. He was later selected by the Los Angeles Rams of the National Football League in the fifth round (113th overall) of the 1985 NFL Draft. From 1985 through 1987, Greene played on left defensive end in the Rams nickel defense and was second on the team in sacks in both 1986 and 1987. His first sack came in 1985, in a playoff game against the Dallas Cowboys, and it was in the defensive end role that the sack came. In 1988, Greene became the starting left outside linebacker in the Rams base defense that was enhanced by defensive coordinator Fritz Shurmur's Eagle 5-Linebacker defense which he used extensively from 1988 to 1990. In 1988, Greene led the Rams with sacks which was second overall in the NFL behind Reggie White. That total included sacks against the San Francisco 49ers' Joe Montana in a key late-season game that the Rams had to win in order to make the playoffs, which they did. In 1989, Greene made both the First and Second All-Pro Team and was named to the Pro Bowl for the first time with his second consecutive season of 16 sacks (4th in the NFL). Greene signed a three-year $2.5 million contract with the Rams prior to the 1990 season. His 13 sacks (tied for sixth in the NFL) in 1990 gave him 46 sacks for that three-year period, the most of any player in the NFL for that span. In 1991, the Rams changed defenses and defensive coordinators. Jeff Fisher became the new defensive coordinator and switched the Rams to a 4–3 defense, a system Greene was unfamiliar with, after playing in a 3–4 defense since 1983. Although he had compiled 46 sacks during the previous three seasons, Greene was moved from left outside linebacker in a 3–4 to right defensive end in a 4–3. After five games Greene was moved to left linebacker for a month and a half and then due to injuries he was moved to left defensive end for the remainder of the seasons. In all, he started five games at right defensive end, five games at left linebacker and six games at left defensive end and even though he had a career-high in tackles for loss (8) he ended the year with