The previous VTsIOM opinion poll conducted in January said Medvedev would receive 74.8% of the vote in the March 2 elections.
"This is about the number [President] Vladimir Putin received in 2004 [71%]," VTsIOM Director General Valery Fyodorov, adding that 75% of Medvedev's electorate are those who voted for Putin in 2004.
Medvedev, Russia's first deputy prime minister, was publicly backed by Putin as his successor in mid-December, and was later nominated by the ruling United Russia party as a presidential candidate for the country's crucial elections.
Given Putin's popularity, his endorsement of the first deputy premier is likely to guarantee Medvedev the presidency. Putin has also said he will accept the post of prime minister if Medvedev becomes president.
According to the poll, Communist leader Gennady Zyuganov and the ultra nationalist Liberal Democratic Party leader Vladimir Zhirinovsky are expected to receive 7% of the vote, almost 5% less than a survey carried out in January.
The leader of the tiny pro-Western Democratic Party, Andrei Bogdanov, is expected to receive 1% backing.
A total of 84% of the respondents said they would take part in the March presidential elections.
The poll was conducted on February 2-3 among a sample of 1,600 respondents, with an error margin not exceeding 3.4%.
