The visit will be the first to Russia by the Belarusian leader since protests broke out over his disputed election win.
Opposition leaders have either been detained or forced to leave the country as massive protests - a first of their kind - gather steam.
Olga Kovalkova says Belarusian authorities has told her she would face further arrests if she did not leave the country.
Students have boycotted the beginning of the school year and there were also new protests at two of the large industrial plants.
Estonia, Latvia and Lithuania place travel sanctions on 30 top officials in Belarus, including President Alexander Lukashenko.
Lukashenko, who turned 66 on Sunday, is struggling to contain weeks of protests and strikes since winning an August 9 election his opponents say was rigged. He denies electoral fraud and has said the protests are backed from abroad.
President Alexander Lukashenko denies opposition accusations that he rigged the August 9 election to prolong his 26-year rule.
Russian President Putin promises military support for close ally and Belarusian President Alexander Lukashenko, while urging a peaceful resolution to the crisis following disputed August 9 vote.
Latest police action marks the return to force, albeit on a much smaller scale compared to the post-election crackdown, when nearly 7,000 people were detained, hundreds were injured and at least three protesters died.
Both senior figures in an opposition Coordination Council, Olga Kovalkova and Siarhei Dyleuski were brought to separate courts where they were each jailed for 10 days.
As the countdown to regional elections begins, the Russian economy shows no positive signs and Moscow’s close ally of Belarus descends into political chaos.
President Alexander Lukashenko accuses the West of fomenting unrest in the country as he seeks to consolidate his grip on power amid widening demonstrations.
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