Grybauskaitė announced on Monday she discussed Tymoshenko's situation with her Ukrainian counterpart during a phone conversation last week.
"We agreed with the president that I will have a chance to meet with her (Tymoshenko) in Kharkov," Grybauskaitė told journalists in Vilnius.
The Lithuanian president also said she had information that the Ukrainian opposition leader should be transferred to hospital as early as Tuesday.
"Thanks to German efforts, it seems possible that as early as tomorrow she will be transferred to a Kharkov hospital. So she will receive adequate and necessary medical care," Grybauskaitė said.
Invitations to Yalta summit have already been rejected by presidents of Austria, Croatia, the Czech Republic, Estonia, Latvia, Germany, Italy, Slovenia and Bulgaria. The Polish and Slovak presidents intend to attend the event. The former say compromises on human rights are impossible and a boycott is the best way to show dissatisfaction over Kiev's actions.
Meanwhile, those attending the conference believe Ukraine's isolation may increase Russia's influence, and add that difficult dialogue is better than monologue in an effort to get Ukraine closer to the EU, especially taking into account the fact that the EU shows little initiative in activating cooperation with Eastern Partnership countries.
Lithuania's Prime Minister Andrius Kubilius says it would be a valuable opportunity to go to the summit held by Ukrainian President Viktor Yanukovych in Yalta.
"The opportunity to go to Ukraine and tell the Ukrainian leaders directly what mistakes they make, including those in human rights and legal state matters - I also mean the Yulia Tymoshenko case - I do not think this opportunity is without value," Kubilius told journalists after meeting with President Dalia Grybauskaitė on Monday.