"That's when I totally dedicated myself to this team," he said Monday. "I just hope everybody feels the same way."
Apparently his teammates do.
The Falcons (4-1) are enjoying their first four-game winning streak since 2004 and have a half-game lead in the NFC South over surprising Tampa Bay.
Atlanta, which visits Philadelphia (3-2) this week, leads defending Super Bowl champion New Orleans by two games in the division and is tied with Chicago for the NFC's best record.
The Falcons also have a flair for late-game drama.
After cruising past Arizona 41-7 in Week 2, they won in overtime at New Orleans, beat San Francisco in the final seconds and needed a defensive touchdown from Kroy Biermann with four minutes left to seal a 20-10 victory Sunday at Cleveland.
Roddy White, who had a 45-yard touchdown catch Sunday, thinks the late heroics build character.
"We're in the fourth quarter, and everybody's still got to play hard," White said. "Last year in the fourth quarter, we lost a lot of these games. This year we're winning them. It will help us in December."
Atlanta's penchant for creating turnovers also helps. Two interceptions and a fumble recovery against the Browns gave the Falcons 13 takeaways, third-most in the NFL.
The Falcons have the league's second-most productive receiver in White and the No. 2 running back in Michael Turner.
Defensive sacks are on the rise, too. With 11, Atlanta is on pace to finish the regular season with 32, eight more than last year.
Abraham has four, just 1.5 less than his 2009 total, a low mark in a 10-year career when he's played 16 games. But the three-time Pro Bowl finished Sunday with two sacks for minus-15 yards, five total tackles and one quarterback hit.