Jeff Alan Gossett (born January 25, 1957) is an American former professional football player who was a punter in the National Football League (NFL) and the United States Football League (USFL). He played college football for the Eastern Illinois Panthers.

Gossett attended Charleston High School. In football, he played as a quarterback and punter. He also practiced baseball and basketball.

Gossett, accepted an athletic scholarship from Eastern Illinois University. As a sophomore, he led the NCAA Division II in punting with a then school record 43.1-yard average. He also set the school records career average (40.7) and longest punt (77 yards).

He competed in baseball as a shortstop. In 1978, he contributed to the team earning a fifth place in the College Division World Series. He set the school record for triples in a season (7) and in a career (14), while ranking in the top ten in career hits, home runs and RBIs.

In 1987, he was inducted into the school's Sports Hall of Fame.

In 1978, Gossett was selected in the fifth round by the New York Mets and played in their farm system for two seasons as an outfielder and third baseman. He left after he was asked to convert into a pitcher.

Gossett was signed as an undrafted free agent by the Dallas Cowboys after the 1980 NFL draft on April 30. He was released before the start of the season on August 25.

On March 9, 1981, he signed as a free agent with the San Diego Chargers. On August 31, he was released after the team acquired punter George Roberts.