The two sides are in ongoing discussions about a trade involving the 27-year-old rearguard, according to Sportsnet's Elliotte Friedman.
Friedman added that details are still being worked out, and that Faulk has a partial no-trade clause in his contract that includes the Ducks.
The Hurricanes reportedly shopped Faulk last June amid stalled extension talks, but they were unable to find an appropriate suitor. He's now set to enter the final year of his contract before becoming an unrestricted free agent.
The 6-foot blue-liner recorded 11 goals and 35 points in 82 games for the Hurricanes last season before adding one goal and eight points in 15 playoff contests.
After inking defenseman Jake Gardiner to a four-year, $16.2-million deal last week, Carolina sits $1.5 million over the salary cap and will likely need to move a player to become cap compliant.