The West has called the jailing of Tymoshenko, the country's main opposition leader, politically motivated.
The EU warns it will not sign a key association agreement with Kiev until the Tymoshenko case is resolved.
Earlier this month, Yanukovych pardoned a top Tymoshenko ally, Yuri Lutsenko, on humanitarian grounds after the former interior minister served more than half of his term on corruption charges and his health deteriorated in jail.
Tymoshenko supporters have since renewed calls to free her.
But Azarov told reporters Tuesday that this question "will be solved when ongoing cases are over."
The cases include corruption and murder charges and could take months or years.
Source: Fox News