Several NHL stars have already jumped over to clubs in the KHL, Czech Extraliga, and Swiss National A League, among others, including the likes of Evgeni Malkin, Alex Ovechkin, Pavel Datsyuk, Joe Thornton, Logan Couture, Ales Hemsky, Rick Nash and Tyler Seguin.
While there haven't been any North American-born players to sign on in the KHL, Kane and Toews could be among the first if they agree to terms with one of their teams.
New York Islanders center John Tavares, Washington Capitals center Nicklas Backstrom, Tampa Bay Lightning center Vincent Lecavalier and Pittsburgh Penguins defenseman Kris Letang have also received interest from various KHL clubs.
Kane, 23, tallied 23 goals and 43 assists for 66 points in 82 games with the Blackhawks last season.
Toews, 24, registered 29 goals and 28 assists for 57 points in 59 games.
KHL teams are allowed to sign a maximum of three NHL players during the NHL's lockout, while a max salary has been imposed of 65 per cent of what they earn under their NHL contracts.