"At this time it's impossible to predict when he will be able to make his return. He'll travel to either England or Italy this week to see a specialist," Dynamo's doctor Andriy Shmorgun told the club's website.
The former European Player of the Year, who has battled several minor injuries this season, broke his jaw in Dynamo's 2-0 win over city rivals Arsenal in the Ukrainian Premier League on Saturday.
The 34-year-old former AC Milan and Chelsea striker returned to Dynamo in 2009, a decade after leaving them.
Dynamo face Bulgaria's Litex Lovech in the first leg of the Europa League play-off on Thursday after being knocked out of the Champions League qualifiers by Rubin Kazan earlier this month.
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