NEW YORK -- New York Knicks general manager Steve Mills was "a little" disappointed that the team ended up with the fourth pick in the NBA draft, but he doesn't see it as a "setback" for the franchise.

"It's not a setback at all," Mills said on Tuesday night following the NBA draft lottery. "We went into this draft knowing we can get a good player, anywhere from [Nos.] 1 to 5."

Now the Knicks, who had a 55.8 percent chance of landing a top-three pick, will consider all of their options with the fourth selection, including the possibility of trading it.

"I think we're going to be open to a lot of things," said Mills, who could be seen hanging his head after the Knicks' pick was announced. "We know we can get a good player at this pick. We're also going to be open to talking to teams and looking at different options."

Those options will include trading the pick for a veteran or for multiple lower picks in the first round.

If the Knicks keep the pick, they'll likely have the option to take one of the top two point guards in the draft -- Emmanuel Mudiay or D'Angelo Russell.

New York has scouted Russell in person during the college season and interviewed him last week at the draft combine in Chicago. The Knicks, league sources said, have also done extensive scouting of Mudiay, who played in China this past season. Duke forward Justise Winslow and Kentucky center Willie Cauley-Stein also figure to be available when New York makes its pick on June 25.

If the Knicks keep the selection, Mills hopes to draft a player who can complement Carmelo Anthony and the veteran free agents the Knicks hope to add this summer.

If the Knicks opt to trade the pick, it will be interesting to see which veterans become available on the market. For what it's worth, Sacramento Kings executive Vlade Divac said on Sirius XM Radio Tuesday that the team would not be open to trading DeMarcus Cousins.

Mills tried to put a positive spin on things Tuesday after a rough night for the franchise.

"I think our goal is to become a playoff team," Mills said. "We feel like we have the opportunity to gradually build this team, continue to get better and we'll go into free agency again the following year and we'll have additional cap room [in the summer of 2016] with the jump that the cap will make. We'll do the things that we have to do to make this team better. I feel very confident about that."

Winning late hurt Knicks? New York was on pace to finish with the NBA's worst record late in the season. But the Knicks won two of their final three games to finish with the second-worst record.

The Minnesota Timberwolves had the NBA's worst mark and the best chance to land the top pick. If you're a Knicks fan, it's hard not to wonder what could have been if New York hadn't won two of its final three games.

Mills was asked about the idea that the Knicks hurt themselves by winning two of three to close the season.

"The outcome of games, players are going to go out and try to play hard and try to win games," he said. "That's what we asked them to do every night. That's just the way the pingpong balls turned out this time."

It wasn't a great night for team president Phil Jackson, who wasn't in the building on lottery night.

Impact on free agency: If they keep their draft pick, you can expect the Knicks to target top big men in free agency this summer because they likely will get a wing or a guard in the draft.

Mills acknowledged that the player the Knicks select will have a "big impact" on who they go after in July.

"We'll look at what kind of guys we think are going to move in free agency and have our draft plans accordingly," Mills said.

Russell knows triangle: Last week, Russell raised some eyebrows by saying that he wasn't familiar with the triangle offense. He said on Tuesday night that he'd studied the offense in the past week and has become familiar with it.

Russell also feels like he can fit well alongside Anthony.

"I feel like I'm the type of player that can come in to a situation like that and really make the best out of it," he said. "Following in Carmelo's footsteps, it's all good from there."

Mudiay reiterated that he'd love the opportunity to play under Jackson but said that he and the Knicks have not scheduled any workouts yet.