Before he was the star QB of the Chiefs, Patrick Mahomes sat down with Jon Gruden to talk about being drafted by the Detroit Tigers and how he fell in love with football. (2:39)

SAN DIEGO -- Los Angeles Chargers general manager Tom Telesco recently said that even though the team has franchise quarterback Philip Rivers, the organization will still do its work on this year's draft prospects at the position.

Telesco apparently is staying true to his word. According to a source, the Chargers held a private workout with Texas Tech quarterback Patrick Mahomes II in Lubbock, Texas, last week.

Chargers head coach Anthony Lynn attended the workout, along with offensive coordinator Ken Whisenhunt and quarterback coach Shane Steichen. Like Mahomes, Lynn also is a Texas Tech product who played running back for the Red Raiders.

Mahomes has been working out north of San Diego at Exos Training facility in Carlsbad, California.

Texas Tech's Patrick Mahomes was responsible for more touchdowns (53) than any other FBS quarterback in 2016. Thomas B. Shea/USA TODAY Sports

Rivers, 35, is signed with the Chargers through the 2019 season. However, with the team moving north to Los Angeles, the Chargers are looking to find the eventual replacement for the North Carolina State product as his career winds down.

Whisenhunt and Steichen worked out Paxton Lynch at his Memphis Pro day before last year’s draft. And a Chargers contingent that included Telesco and then head coach Mike McCoy traveled to Eugene, Oregon, to host a private workout with Marcus Mariota before the draft two years ago. The Chargers were rumored to be involved in a potential trade with the Tennessee Titans to get into position to draft Mariota, something that never came to fruition.

Mahomes was responsible for more touchdowns (53) than any other FBS quarterback in 2016. It’s been 13 years since a quarterback from Texas Tech was drafted -- B.J. Symons in 2004 by the Houston Texans.

At 6-foot-2 and 225 pounds, Mahomes has great arm strength, good mobility and throws with anticipation. However, Mahomes is considered a developmental prospect because of his time spent in the Air Raid offense at Texas Tech.

Mahomes totaled 5,052 passing yards, 41 touchdown passes and 12 touchdown runs his final season at Texas Tech.

The Chargers have the No. 7 overall selection, which is considered too high to take Mahomes, but could either trade up late in the first round or take the Texas Tech product if he’s still around early in the second round.

ESPN’s Adam Caplan reports that the Chargers also held a private workout for Tennessee quarterback Joshua Dobbs. And ESPN’s Jeremy Fowler reports Whisenhunt was at Pittsburgh’s pro day this week, presumably to watch quarterback Nathan Peterman.

The Chargers have selected just one quarterback in the draft under Telesco -- Brad Sorensen in the seventh round of the 2013 draft.

It’s been more than a decade since the Chargers selected a quarterback in the first round, Eli Manning in 2004, who the Chargers traded to the New York Giants to receive Rivers.

Along with Rivers, Kellen Clemens and Mike Bercovici are the other quarterbacks on the Chargers’ roster.