Lamar Odom is owed $8.2 million in 2012-13, the final year of his contract, but can be bought out this summer for $2.4 million.
A source says Odom has the Knicks "on the top of his list" in the event he becomes a free agent.
"Lamar is big on being comfortable," the source said. "And New York is somewhere he can be comfortable."
Odom averaged career-lows of 6.6 points and 4.1 rebounds in 50 games with the Mavericks.
"It definitely won't be the fiasco that it was last year," the Odom source said of the 13-year veteran's approach to 2012-13. "He wants to find a place where he can end his career, and New York is ideal. He's won championships in the past and he wants to win another. And to do it there would be great."