"That's good, but I'm not in this for Coach of the Year," he said. "I'm in it to try and see if we can get this team to the championship round and try and win a title. If it happens, it happens. I'm not sitting here holding my breath about a Coach of the Year Award."
Woodson said that he and Thomas are friends and "talk all the time."
MORE FROM TYSON?: Before Game 2, Woodson said that he's hoping to see more production from Tyson Chandler on Tuesday. In Game 1, Chandler played fewer minutes than usual (20), failing to score and only grabbing five rebounds.
"Tyson's timing was a little off, his conditioning was off as well," Woodson said. "He's worked the last few days, so I'm expecting him to be a lot better tonight."
Reflecting on Game 1, Woodson said, "I’m not inside his body, but his body movement and his pop just weren't there. That was the first game. Hopefully he saw something after watching the tape that he can do better in helping us. Hopefully it will start tonight."
MORE NOVAKAINE IN GAME 2?: Woodson explained why Steve Novak only played five minutes in Game 1, and perhaps how he'll find playing time for the sharpshooter on Tuesday.
"We've got so many guys back now," the coach said. "[Chris] Copeland started the other night and it's going to be tough. When [the Celtics] go to their second unit, they're small with [Jordan] Crawford and [Courtney] Lee and Jason [Terry]. And then they have two bigs or maybe [Jeff] Green at the four and one big.
"Trying to find matchups for Novak, it was kind of tough the other night. In the past, [Chris] Wilcox had been playing a little bit and Green as well. We were able to play Novak a little bit. I'm going to try and see if I can fit him in there tonight and get him some longer minutes. It's based on personnel and who they're playing."
In Game 1, the Knicks only shot 36 percent from 3-point range (9-for-25). Celtics coach Doc Rivers was pleased how his team defended the Knicks' main team offensive weapon.
"I was," he said. "They got a couple in transition. I think Melo had two off of rebounds, and those are the ones you want to take away, but overall, I thought we ran them off the 3-point line as much as you're going to. They're still going to take them. Make them take contested 2s. We don't mind contested 2s."