PITTSBURGH — Mike Glennon lived out his childhood fantasy seven seconds early but he wasn’t complaining.

The backup quarterback’s 5-yard touchdown pass to Vincent Jackson with seven seconds left rallied the Tampa Bay Buccaneers past the Pittsburgh Steelers 27-24 on Sunday for their first win of the season.

“That what’s you always dream of when you’re playing football in the backyard as a kid,” Glennon said. “Two-minute situation and you drive your team down the field and throw the winning touchdown pass as time expires. Time didn’t expire but it was close enough.”

The Buccaneers’ hopes for a win seemed to expire with 1:49 left when Glennon overthrew Jackson, a 6-foot-5 wide receiver, in the end zone on fourth down.

However, the Steelers (2-2) were unable to run out the clock and after a poor 29-yard punt by Brad Wing, the Buccaneers (1-3) drove 46 yards in five plays for the winning score after being thumped 56-14 by the Atlanta Falcons in their previous game.

“I made some bad throws on (the previous) drive and I don’t think I would have slept if we didn’t get the ball back,” Glennon said. “I wanted a second chance.”

Making his first start of the season in place of injured Josh McCown (right thumb), Glennon completed 21 of 42 passes for 302 yards and two touchdowns, with one interception. Glennon started 13 games as a rookie last season but was supplanted when the Buccaneers signed McCown as a free agent in the offseason.

“Mike kept working hard,” Buccaneers coach Lovie Smith said. “I have never seen a player who worked hard who didn’t eventually get a chance to play. Mike’s chance to play came today and he showed he was ready.”

It was Smith’s first win with the Buccaneers. He replaced Greg Schiano at the end of last season after serving as Chicago’s coach from 2004-12.

“It feels good because it’s been awhile,” Smith said, grinning. “You see the 0-3 record and everyone thinks it’s a bad football team. I knew we weren’t a bad team, it’s just that we didn’t know how to win. You can’t learn how to win, though, unless you win so this is really big step for us.”

Steelers quarterback Ben Roethlisberger was 29 of 40 for 314 yards and three touchdowns. He became the 12th quarterback in NFL history to pass for 35,000 career yards for the same team.

Wide receiver Antonio Brown caught two of Roethlisberger’s touchdown pass and finished with seven receptions for 131 yards. Brown set an NFL record by notching his 20th consecutive game with at least five catches and 50 yards, breaking the mark set by Laveranues Coles from 2002-03 with Washington and the New York Jets.

“Right now, it’s not about records,” Brown said. “It’s all about winning, playing Steelers football and getting victories. The record is great but it means nothing. We lost. Our business is winning.”

What the Buccaneers said:

“You have to be prepared to finish whether on offense or defense. Hats off to our defense and special teams for getting us the ball back in great field position. They gave us a chance to win. We finished.” — Wide receiver Vincent Jackson.

What the Steelers said:

“I think it’s a great lesson for all of us. We have to be consistent. We can’t beat ourselves with penalties or negative plays. This is the NFL. There are no easy games.” — Tight end Heath Miller.

What we learned about the Buccaneers:

1. Signing Josh McCown as a free agent and making him the starting quarterback over Mike Glennon might have been a mistake. In his first start of the season with McCown sidelined due to a right thumb injury, Glennon threw for 302 yards and two touchdowns, the second a 5-yard pass to wide receiver Vincent Jackson with seven seconds left that gave the Buccaneers the win. Glennon’s passer rating was just 79.7 but was better the 65.8 mark that McCown compiled as Tampa Bay lost its first three games.

2. Defensive end Michael Johnson, signed in the offseason as a free agent after spending his first four seasons with Cincinnati, is a difference-maker when healthy. He had two sacks and a quarterback hurry after sitting out the previous two games with an ankle injury. In all, the Buccaneers sacked Ben Roethlisberger five times for losses totaling 26 yards and hurried him five other times.

What we learned about the Steelers:

1. Pittsburgh is prone to being penalized. The Steelers were flagged 13 times for 125 yards, the third time in four games their penalties were in the double digits. Coach Mike Tomlin was fuming about all the flags after the game, blaming them on his team being undisciplined and vowing to take it upon himself to correct the situation.

2. The Steelers have had a hard time finding a consistent punter in recent years, and that trend might be continuing this season. Rookie Brad Wing averaged just 37 yards on four punts Sunday with a net of 29.8. His 29-yard punt gave the Buccaneers the ball at the Steelers’ 46 with 40 seconds left, and Tampa Bay drove for the winning touchdown in five plays. Wing’s average was 44.8 in the first three games.

PLAYER NOTES

BUCCANEERS

–WR Mike Evans (groin) pulled up lame while running a deep pattern in the third quarter and missed the remaining of the game, a 27-24 loss at Pittsburgh on Sunday. The rookie caught his first career touchdown to open the scoring, hauling in a 7-yard pass from QB Mike Glennon in the first quarter. Evans had four catches for 65 yards on seven targets before exiting. He was the Buccaneers’ first-round draft pick this year from Texas A&M.

–S Dashon Goldson (ankle) was injured in the first quarter and did not return. He made one tackle before exiting.

–QB Josh McCown, who was inactive, was diagnosed with a torn ligament in his right thumb. A decision on whether he needs surgery will come after he attempts to throw Monday. McCown likely would miss at least six weeks if he has an operation.

–QB Michael Glennon lead the Buccaneers to their first victory of the season as he completed 21 of 42 passes for 302 yards with two touchdowns and one interception. Glennon threw the game-winning touchdown pass with seven seconds remaining, a 5-yarder to WR Vincent Jackson. Glennon did not see action in the first three games behind QB Josh McCown after starting 13 games last season as a rookie.

–WR Louis Murphy had six receptions for 99 yards on a team-high 11 targets just five days after being signed as a free agent. Murphy went to camp with the Buccaneers this year but was cut. However, he lives in nearly Bradenton, Fla., and he kept in touch with Tampa Bay’s front office and coaching staff. This is Murphy’s sixth NFL season. He also played with Oakland, Carolina and the New York Giants.

–WR Vincent Jackson (wrist) played as expected after practicing all week. Though he scored the game-winning touchdown, he had just three receptions for 32 yards on a season-high 10 targets. Jackson has just 13 catches for 134 yards and two touchdowns this season despite being targeted 35 times. That is quite a lack of production for a receiver who had 1,384 yards in 2012 and 1,224 yards in 2013 during his first two seasons with the Buccaneers after being signed as a free agent.

–RB Doug Martin (knee) returned after missing the previous two games. Though he ran for a touchdown, Martin managed just 40 rushing yards on 14 attempts for an average of 2.9 a carry. He also had receptions on both targets for 16 yards.

–TE Austin Seferian-Jenkins (ankle) was on active roster after sitting out the previous two games. He had three receptions for 47 yards on seven targets, significant because TE Brandon Myers had no catches and was targeted only once.

–DT Gerald McCoy (hand) returned after sitting out the previous game. He had a sack, a quarterback hurry and a pass defensed.

–LB Lavonte David had a team-high 12 tackles, 10 of them solo. He also recorded three tackles for losses and one forced fumble.

–WR Robert Herron was an inactive for the first time this season. He had just three catches for 18 yards in his first three games.

STEELERS

–QB Ben Roethlisberger completed 29 of 40 passes for 314 yards and three touchdowns to finish with a 120.2 passer rating, but the Steelers lost 27-24 to visiting Tampa Bay. He was sacked five times.

–WR Antonio Brown set an NFL record while catching seven passes for 131 yards and two touchdowns on 11 targets. It marked the 20th consecutive game, dating to last season, in which Brown had at least five receptions for 50 yards. That broke the record set by Laveranues Coles from 1992-93 with Washington and the New York Jets. Brown also registered a reception in his 60th consecutive game dateing to 2010. Brown also completed a pass for 17 yards.

–TE Heath Miller set a career high with 10 receptions. The 10-year veteran finished with 85 yards and a touchdown while being targeted 11 times.

–WR Lance Moore had a reception on his only target for 12 yards, his first catch with the Steelers. Signed as a free agent in the offseason after playing the first eight seasons of his career with New Orleans, Moore played only one snap in the first three games.

–RB/WR Dri Archer (ankle) returned to action after missing two games. The rookie had only one touch, though, catching a pass for 1 yard.

–LB James Harrison did not make any tackles while seeing limited duty. The 36-year-old was signed earlier in the week as a free agent, just three weeks after announcing his retirement. Harrison made 456 tackles for the Steelers from 2002-12.

–LB Sean Spence made his first career start, subbing for LB Jarvis Jones (wrist). Spence had three solo tackles.

–LB Arthur Moats was credited with only one tackle in his first start of the season. He was taking the place of LB Ryan Shazier (knee).

–CB William Gay had four solo tackles and two passes defensed. He was making his first start of the season, subbing for Ike Taylor (broken hand). Gay has played in 116 consecutive games, the most of any current NFL cornerback.

–K Shaun Suisham went 1-for-2 on field-goal attempts. He hit from 25 yards in the first quarter but missed wide right from 50 on the last play of the first half, ending his streak of 24 consecutive makes going back to last season.

–LB Lawrence Timmons had a team-high 10 tackles. Seven of them were solos.