Ukraine's vice-captain sustained the injury in Dnipro
Dnipropetrovsk's 3-0 defeat at Europa League Group G rivals St Etienne on Thursday.
Coach Mykhailo Fomenko has to fill two gaps in midfield for Saturday's first leg in Lviv because Shakhtar Donetsk'sTaras Stepanenko is sidelined through suspension.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
Full back Oleksandr Kucher is also banned for Saturday's game but goalkeeper Andriy Pyatov is hoping he can shrug off an ankle injury in time to play.
"There's not much to be cheerful about," coach Mykhaylo Fomenko told reporters on Monday.
Ukraine have yet to beat Slovenia in four previous meetings, drawing twice and losing twice.
They also lost out to Slovenia in the Euro 2000 playoffs.
The second leg takes place on Nov. 17. The winners go through to next year's finals in France.
(Writing by Igor Nitsak; Editing by Tony Jimenez)
