The court said it would deliver its judgment in a public hearing Tuesday. Tymoshenko is serving a seven-year prison sentence after being convicted on charges she abused her authority when brokering a natural gas deal with Russia as prime minister in 2009.
Tymoshenko's complaints range from suggestions her detention is arbitrary to allegations she was abused by prison authorities. Her supporters say the charges against her are politically motivated.
European Neighborhood Commissioner Stefan Fule met this week with Arseniy Yatsenyuk, head of Tymoshenko's opposition party in the Ukrainian Parliament.
"Ukraine needs a Parliament where the majority and the opposition engage constructively with each other and assume responsibility on the reforms needed for the country and its citizens in fulfilling their European choice," Fule said in a statement. "There have been several such positive examples recently but they need to continue and expand."
The European Union said matters of selective justice and democratic progress must be addressed by Ukraine if it wants to move closer to the bloc.
Ukrainian President Viktor Yanukovych in early April issued pardons for former Interior Minister Yuri Lutsenko and former Environment Minister Heorhiy Filipchuk, both Tymoshenko supporters jailed on corruption charges.