Rob Rossi of the Pittsburgh Tribune-Review tweeted this morning that Gonchar told him "he has had offers from KHL teams but has signed nothing yet."
Gonchar, 39, spent the lockout playing for Metallurg and could earn significantly more money in Russia than playing in the NHL.
An official announcement could be made early next week.
In 45 games with the Senators this season, Gonchar collected three goals and 24 assists for 27 points.
Gonchar is in the final-year of a three-year, $16.5 million contract.