According to the Lithuanian Ministry of Foreign Affairs, the agreement would be so far the most ambitious agreement between the EU and a third country.
Linkevičius wished Ukraine, which marked the independence anniversary last weekend, to continue strengthening the state, consolidating European values as well as linking the country's future with Europe.
The Lithuanian foreign minister also invited Ukraine to make use of Lithuania's European integration experience.
Vilnius will host the Eastern Partnership Summit in Vilnius on November 28-29 under the Lithuanian EU presidency. The Eastern Partnership program is aimed at bringing six post-Soviet countries - Ukraine, Armenia, Azerbaijan, Belarus, Georgia, and Moldova - closer to the EU.