It's a forum that is normally used only by President Vladimir Putin, leading to speculation that Medvedev is stepping up his bid for the presidency.
Thousands of questions have reportedly already been sent to the address created for Medvedev's conference (voprosy.yandex.ru/db). But the ones he actually faces are not likely to be politically probing.
Medvedev's Internet debut is strictly limited to questions about Russia's national projects on health, education, housing, and agriculture, which Medvedev has been overseeing since November 2005.
Anton Nosik, head of the Soup blog service, says the restrictions make it clear that Medvedev won't be facing any sensitive issues during today's live session, which will be broadcast live on the websites vesti.ru, izvestiya.ru, and rost.ru, as well as the Yandex site.
"It's the first time that I can remember an Internet press conference where asking a question that is not about the national projects is grounds for having that question be rejected by the moderator," Nosik says. "This means that -- taking into account the experience of Putin's press conference last year -- there is considerable freedom for the moderator to intercept inconvenient questions."
Medvedev, 41, is considered one of the two leading candidates to succeed Vladimir Putin in presidential elections next year.
The other, 54-year-old former Defense Minister Sergei Ivanov, was recently promoted to first deputy prime minister -- the same rank as Medvedev -- thus adding to the speculation that Putin will tap one of them as his heir.
Medvedev (right) with Sergei Ivanov in July 2006 (TASS)