Niemi made $827,000 last season and is slated for a raise after helping the Blackhawks to their first Stanley Cup championship in 49 years.
The team and Niemi have not been actively discussing a contract recently, according to a person familiar with the situation, making the date with an arbitrator more and more likely.
"We're still negotiating with Antti," Hawks general manager Stan Bowman said. "It's a back and forth. We're trying to get it done so we'll keep at it. "It's a negotiation. Both sides have their points of view so hopefully it works out."
Niemi is the only Chicago player slated for salary arbitration.
Also, the Blackhawks and free-agent defenseman Jordan Hendry appear to be getting closer on a deal, according to a source familiar with the situation.
Jesse Rogers covers the Blackhawks for ESPNChicago.com.