The NFC East side lost their opening six games this year, but have recorded back-to-back wins in the last two weeks.
Reese told reporters: "I'm an optimist and I'll always think at some point we're going to stop the bleeding and it's going to get turned around because at times in the game, if you look back, the defense has done some things at times in the game that keep us in the games, but we were turning the ball over at a high rate.
"In this league, if you turn it over at a high rate, it's hard to win. We have to play better as a unit. When I say as a unit, I mean offense, defense and special teams, and I expect us to do it.
"I talked to [head coach] Tom [Coughlin] this past Monday and I said, 'We scratched out a couple of wins, but what would happen if we played a whole game and played as a unit?' Offense and defense has been playing well. We've got a chance to continue to grow, for a lack of a better term, with where we are right now."
The Giants face the Oakland Raiders after their bye week.