Russian club Krasnodar submitted a bid in the region of £10 million for the 27-year-old defender, but the report claims that Leeds have turned down the offer.
Jansson is a key player for Leeds and the Yorkshire club are resolved to keep him beyond the end of the transfer window.
The Swedish international, who has been capped 17 times, was linked with a move to Burnley and West Ham in the summer, but there was no formal offer for him from the Premier League clubs.