According to the official website, an OVA of Asobi ni Iku yo! was announced to be released in March 2011. Asoiku characters will play a “certain game” to win a prize. A PR staff of Pony Canyon called it “an undressing OVA”, with everything uncovered.
Sources: Asoiku official website, ecoloji’s tweet
Update on March 16th
According the official website, the March 16th release of the Asobi ni Ikuyo! OVA Special has been delayed to May 18th.
Source: official website
