"I feel that Vinny's a veteran guy who gives us a chance to make some plays in the passing game," Coach Herm Edwards told reporters during his weekly news conference.
Testaverde -- who has thrown for 44,475 yards with 268 touchdowns over 18 years -- was signed last week following news that Chad Pennington will miss the remainder of the season because of a torn rotator cuff, and back-up Jay Fiedler could be out for the year because of a dislocated right shoulder.
Third-year pro Brooks Bollinger, who began the season as the third-string quarterback, played in last week's 13-3 loss to Baltimore and was 14-of-28 for 149 yards.
Testaverde is in his second stint with New York. He led the Jets to the AFC Championship Game in the 1998-99 season.