Tottenham Hotspur chase international star to offer defensive cover
Vida has impressed Spurs with his versatility and while he is under contract until June 2018 he is understood to have a release clause.
Kyiv do not want Vida to leave in the January window but may change their mind if they go out of the Champions League.
The Ukrainian champions are currently third in Group G, two points behind Chelsea and three behind leaders Porto with two games to play.
Vida has 33 caps for Croatia and was once fined £80,000 by former club Dinamo Zagreb for opening a can of beer on the coach on the way to a game.