Career
Gibbs spent the first half of his adult life at Oklahoma as a player, assistant coach, and head coach. He played for the Sooners as a linebacker under Switzer from 1972 to 1974. He began coaching in 1975 as a graduate assistant under Switzer and was promoted to linebackers coach in 1978.
He was promoted to defensive coordinator in 1981, and held that post through the 1988 season.
In 1989, Gibbs was named head coach after Switzer was forced out following National Collegiate Athletic Association sanctions and a number of highly publicized off-the-field issues involving the Oklahoma football program Gibbs stayed as head coach at Oklahoma for six years, leading the Sooners to a record of 44–23–2 in that time.
Hobbled by National Collegiate Athletic Association sanctions during Gibbs" first two years, the Sooners were barred from bowl games, and were also banned from live television in his first year. More seriously, they were only allowed to give out 18 scholarships rather than 25.
He wasn"t able to field a team with a full complement of scholarships until 1994.
Even so, discontent with his lackluster record in big games led Oklahoma to force his resignation after the season. Gibbs was the defensive coordinator at the University of Georgia in 2000 and then at Louisiana State University in 2001. From 2002 to 2005, he was the linebackers coach for the Dallas Cowboys.
Gibbs was the defensive coordinator for the New Orleans Saints from 2006 through 2008.
Fired by the Saints after the conclusion of the 2008 season, Gibbs was subsequently hired by the Kansas City Chiefs as linebackers coach. On November 5, 2012, Gibbs was named defensive coordinator of the Kansas City Chiefs after Romeo Crennel resigned from the position (though staying as head coach).