He played college football at the University of Tennessee, and was selected by the Tampa Bay Buccaneers in the fourth round of the 2011 NFL draft.

He attended Madison Southern High School in Berea where he was an honor student and three-year starter.

[5] Stocker was selected in the fourth round, 104th overall, by the Tampa Bay Buccaneers in the 2011 NFL draft and signed his contract worth four years on July 28, 2011.

[12][13] On March 9, 2015, after a strong performance at full back and on special teams, the Buccaneers signed Stocker to a three-year contract extension.

The Titans finished second in the AFC South with a 9–7 record and made the playoffs as a Wild Card team.

[21] In the season-opener against the Miami Dolphins, Stocker caught a season-long pass of 31 yards as the Titans lost by a score of 27–20.

On October 21, 2018, in a narrow 20–19 loss to the Los Angeles Chargers, Stocker caught his first touchdown as a Titan on a 1-yard pass from quarterback Marcus Mariota.

[22] In the season finale against the Indianapolis Colts, he caught a 22-yard touchdown from backup quarterback Blaine Gabbert as the Titans lost by a score of 33–17.