Vrabel's second score made it 14-7 and Dillon capped a 78-yard march with his first score for a 21-7 halftime lead.
An even more impressive march of 74 yards and 15 plays took up 9:24 of the third quarter, with Dillon adding his second TD.
Adam Vinatieri added a 26-yard field goal.
Laveranues Coles caught an 11-yard TD pass on fourth down early in the fourth quarter for New York, which otherwise looked very much like a contender for the first overall draft choice. With one game remaining, the Jets are one of four teams with 12 losses. Only Houston has 13.
In the final minutes, the NFL's two oldest quarterbacks, 43-year-old Doug Flutie of the Patriots and 42-year-old Vinny Testaverde of the Jets, made token appearances. Testaverde's 27-yard TD pass to Coles closed the scoring and made him the only quarterback to throw for a touchdown in 19 straight seasons.
"Just to get in and play, for me you couldn't have scripted a better ending," said Testaverde, who said he reminisced with Flutie at the end of the game.
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