The Hawks also would include at least a draft pick, the source said.
A Leafs source told ESPN.com’s Pierre LeBrun there was no truth to the rumor.
The NHL trade deadline is Wednesday.
Finger is signed through 2011-2012 at $3.5 million per year.
Huet also is signed through 2012 at $5.6 million per year. It's unclear what Toronto would do with Huet after recently trading for J.S. Giguere.
With the underachieving Huet off the roster and the Hawks saving money on the deal, it could open the door for another trade. League sources say the Hawks have had interest in Florida Panthers goaltender Tomas Vokoun. However, Florida had no desire in receiving Huet in return. According to league sources, Vokoun has not been asked to waive his no-trade clause as of Monday morning.
Finger has two goals and seven assists in 30 games this season. He's minus 12 for the season and hasn't played in a game since January 26.