"She is in hospital now, and, of course, everything possible is being done for her to receive the best medical treatment," Gryshchenko told BNS on Monday in Vilnius.
He has also said that Tymoshenko's situation is a subject of conversations with EU officials, but added that in this case, everything is being done pursuant to the law.
"This issue is being discussed at meetings with representatives of various European states and the European Commission. Nevertheless, we are acting pursuant to the Ukrainian law," the Ukrainian deputy prime minister said.
Following a meeting with Lithuanian Prime Minister Algirdas Butkevičius, Gryshchenko told BNS he hoped that an Association Agreement between Kiev and the European Union would be signed during the forthcoming EU Eastern Partnership meeting in Vilnius in the fall.
Lithuanian Prime Minister Butkevičius says Lithuania supports Ukraine's European integration.
"The signature of the Association Agreement between the EU and Ukraine will promote Ukraine's modernization in various areas, including economic, social, scientific, and legal. Lithuania hopes that Ukraine will meet all conditions of the Agreement. We already see considerable progress in the management of public finances, in the area of state control, key anti-corruption bills have been drafted," Butkevičius told a press conference after the meeting.
Gryshchenko also stressed that the free trade agreement is important not only for Ukrainian but also EU companies.
"It's important not only for the Ukrainian economy but is also important for many European companies. Why? Because it eliminates the final barriers which still exist even based on the World Trade Organization rules. We see that it's really very important for us in the medium and long-term perspective to gain access to today's largest single market in the world," he explained.
There will be companies in Ukraine which will not be satisfied with the new rules though, Gryshchenko noted.
"Today already there are many holdings, large and medium companies in Ukraine which operate based on European and even higher standards as they need to develop activities on the Japanese market as well, and they also trade with the Koreans. So we believe that in essence it will be beneficial for the country, although, naturally, not all sectors will be happy with these rules in the first stage," the Ukrainian deputy prime minister told BNS.
In terms of future cooperation between the EU and Ukraine, Gryshchenko hopes for a visa-free regime. In April, the European Parliament backed the facilitation of visa issuance to Ukrainian journalists, public figures, participants of international exhibitions, conferences and seminars.
"We are optimistic and see no reasons why we could not move to a wider visa-free regime following this meeting," he said.