TAMPA, Fla. — With starting quarterback Sam Bradford out for the season and backup Shaun Hill nursing a thigh injury all week, the St. Louis Rams put their offense in the hands of Austin Davis, an undrafted free agent who entered the year third on their depth chart.

Davis wasn’t spectacular, but he got the job done, leading the Rams to a 19-17 win over the Tampa Bay Buccaneers on Sunday at Raymond James Stadium.

Trailing by one point with just over five minutes to play, Davis led the Rams (1-1) 71 yards down the field, setting up kicker Greg Zuerlein’s game-winning 38-yard field goal with 38 seconds remaining.

Hill was healthy enough to be on the active roster Sunday, but Rams coach Jeff Fisher insisted this week that Davis’ work in practice made him the better option to run the Rams’ offense.

In his first career start, Davis finished 22-for-29 for 235 yards.

The Bucs jumped out to a 7-0 lead, marching down the field on their first drive to set up a 5-yard touchdown run by quarterback Josh McCown.

But the Rams bounced right back, leaning heavily on running back Zac Stacy as they put together a 10-play, 80-yard drive capped off by a 2-yard rush by Stacy for St. Louis’ first touchdown of the season.

Following a 51-minute delay due to lightning in the area, the Rams blocked a Bucs punt and capitalized on the big play, as Zuerlein’s 36-yard field goal put them ahead by three to end the first half.

The Bucs turned the tables in the opening minutes of the second half, recovering a fumble by Stacy that set up McCown’s second touchdown run and put the Bucs ahead, 14-10.

The two teams traded field goals after that, as Zuerlein nailed a 46-yarder with 9:10 left to play and Bucs kicker Patrick Murray hit a 36-yarder with 5:15 on the clock.

NOTES: Buccaneers defensive tackle Gerald McCoy left the game during the Rams’ opening drive due to a left hand injury. He returned in the second quarter then was ruled out for the rest of the game only minutes later. …Tampa Bay linebacker Mason Foster left the game in the second quarter with a shoulder injury and did not return. …Rams receiver Tavon Austin exited in the second quarter with a knee injury and did not return. … Just before the game, Rams defensive end Chris Long (ankle surgery) posted on Twitter, “This is gonna be tough. I’ve got the ipad dialed up though.” It was the first game he missed in his career … Former Tampa Bay linebacker Derrick Brooks, inducted on Aug. 2 into the Pro Football Hall of Fame, joined the Buccaneers’ “Ring of Honor,” had his No. 55 jersey officially retired and received his Hall of Fame ring during a halftime ceremony.