Rhamondre Stevenson scored on a 1-yard touchdown run with 12:43 remaining to give the Patriots a 20-17 lead.
He has 17 carries for 75 yards and two catches for 9 yards.
The Patriots have 244 total yards.
Jacoby Brissett is 13-of-23 for 135 yards and a touchdown, and Hunter Henry has eight catches for 109 yards.
The Seahawks have 253 yards, with Geno Smith completing 23 of 32 passes for 231 yards and a touchdown. Zach Charbonnet ran for a 1-yard score, and DK Metcalf caught a 56-yard touchdown pass.
