"The talks are and have been going for a little while, and, yes, the Hawks are making it a priority," Brisson wrote in an email on Tuesday.
Kane's and Toews' current contracts expire after the 2014-15 season. They became eligible to sign extensions on July 1.
Blackhawks general manager Stan Bowman has said multiple times that he fully expects to sign both players to long-term deals. He last spoke to the media on July 1.
"As in terms of the negotiations, I think I've been pretty consistent in saying that I'm not going to comment on them other than it's ongoing," Bowman said on July 1. "Nothing has changed from my original expectation that they're both going to be signed. We're looking forward to that."
Kane and Toews are expected to agree to matching contract extensions as they did in 2009 when they signed identical five-year, $31.5 million contracts.
Kane, 25, and Toews, 26, were both top-five draft picks by the Blackhawks and began their NHL careers in 2007. They have won two Stanley Cups together and reached four Western Conference finals.
Kane has 178 goals and 315 assists in 515 career regular-season games, and Toews has 195 goals and 245 assists in 484 career regular-season games.