The head coach had previously been critical as his side's inability to finish a game.
Philbin told reporters: "I thought that was a good finish to the ballgame. I told the team a lot of games in this league are decided in the fourth quarter, inside of five minutes, so it was nice to see our guys step up and make some plays.
"We made a play on offense on fourth down, and we had a takeaway on defense when the game was on the line. So that's how you've got to finish games. It's nice to come back after losing the lead in the fourth quarter."
The Dolphins beat the Saints 24-21.