The Golden Gophers (3-1, 1-0 Big Ten) finally held on against Northwestern (2-2, 0-1) after losing to the Wildcats in the final seconds the two previous years.
Minnesota started the fourth with an 83-yard scoring drive, getting a 10-yard pass from Weber to Brandon Green on third down at the Northwestern 23 before Bennett ran it in from the 4. That made it 28-24 and Minnesota hung on from there.
Any chance Northwestern had at a comeback ended when Cedric McKinley stripped Mike Kafka as he dropped back to pass with the ball on the Wildcats 17 and recovered the fumble. That led to a 1-yard TD from Weber to Eric Decker, making it an 11-point game with 1:43 left.
The Gophers' D.L. Wilhite then stripped Kafka again as he dropped back and recovered the fumble with 1:26 to play, and this time, Minnesota escaped with a tense win.
Bennett ran for 89 yards and Weber threw for 186. He was intercepted once and threw both touchdowns to Eric Decker, who caught eight passes for 84 yards.
Kafka, who set a Big Ten record for a quarterback by rushing for 217 yards against Minnesota last year, had his moments for Northwestern. He was 32 of 47 with 309 yards after setting school marks by completing his first 16 passes and 83.3 percent in all in a 37-34 loss at Syracuse last week.
Minnesota picked itself up after falling 35-21 to California in a game that was tied in the fourth quarter, regrouping against a team that had caused it plenty of misery.
Northwestern rallied from 21 down to a 49-48 double overtime win in Evanston in 2007, and last year sent Minnesota into a season-ending tailspin with a 24-17 last-second victory.
With potential first-round defensive linemen Christian Wilkins and Clelin Ferrell returning to school, Clemson is the clear winner of the early entry period. How did other contenders fare?
It's time for Nick Saban to turn to recruiting. The Crimson Tide can reach an 11th-straight top-three class, but they will need to reel in a few of these top targets.
Bryce Love, who finished second in the Heisman Trophy voting after rushing for 2,118 yards, will return for his senior season at Stanford.
Seth Emerson says that if Kirby Smart and the Bulldogs want a prospect, "they're probably going to get him."
Quinten Dormady, who was Tennessee's backup quarterback for the latter part of 2017, announced on Twitter that he plans to transfer for his final season.
Alabama linebacker Mekhi Brown, who was involved in a sideline incident with an assistant coach during the College Football Playoff National Championship Game, will transfer to Tennessee State.