When the door to the Knicks practice session opened Tuesday afternoon, a stream of players scurried out of the locker room before the media could ask a question.

You know what they say about a sinking ship? The rats desert the ship and the captain goes down with it — and coach Mike Woodson may be on his last days afloat.

Left behind to explain the team’s latest round of troubles were Woodson and a pair of veterans, Tyson Chandler and Amar’e Stoudemire.

And what they had to say wasn’t exactly reassuring — Woodson’s words not encouraging for the team’s fading chances and in particular, the usually positive Stoudemire’s words not encouraging for Woodson, whom one league source said could be removed before the Feb. 20 trade deadline.

Stoudemire joined what has been a chorus of players with little to say that sounds as if it is backing Woodson. With bad losses mounting and the season running down, earlier assurances from Madison Square Garden chairman James Dolan that no changes were going to be made may be as hollow as Woodson’s insistence that the Knicks still can be a power in the Eastern Conference.

The Knicks enter tonight’s game against the Portland Trailblazers with a 19-29 record and if they hoped that the Miami Heat would be a measuring stick Saturday, perhaps the real measuring stick was Monday in Milwaukee when they dropped a game to a Bucks’ squad that has won just nine games. In measuring themselves, the Knicks are closer to the bottom than the top.

A year ago the Knicks believed they could beat any team, winning 54 games and an Atlantic Division title. They coasted past the Celtics in the first round of the playoffs and after three wins in four regular-season meetings, believed they could beat the Miami Heat if they faced them.

But now, the Knicks sit in 10th place in the conference, seven games behind the Toronto Raptors for the top spot in the Atlantic and 1½ games behind the Charlotte Bobcats for the final playoff berth.