On March 28, the Giants extended his contract through the 2011 season.
Today's victory makes it more likely the Giants will extend his contract after this season.
The Giants had earned their first win at Seattle since 1981, and extended their winning streak to five games.
The Giants then extended their lead in the top of the sixth inning.
Nearly a year ago, the Giants extended Gragg's contract.
The Giants decided last week to retain Coughlin, and extended his contract through 2008.
The Giants extended their lead to 10 with a 14 play, 69 yard drive in the second quarter.
The Giants extended their lead in the third quarter, when Bryant kicked a field goal and Barber ran 44 yards for a touchdown.
Strahan will be 31 when this new contract expires, if the Giants do not extend it again in a few years.
The Giants started the month with a 4-game series against the Rockies and lost the first two, extending their losing streak to 7.