May 20, 2014: Pro-Russian gunmen atop of an armored personnel carrier patrol a street in Donetsk, Ukraine. One rebel leader in Donetsk, Denis Pushilin, retaliated Tuesday by threatening to nationalize Akhmetovs assets over his refusal to pay taxes to the Donetsk Peoples Republic.AP

NATO said Wednesday that there is still no sign that any Russian troops have withdrawn from the Ukraine border, despite claims by Moscow that military units had begun moving to railway stations and airfields en route to their home bases.

In a statement carried by Russian news agencies, Russia's Defense Ministry claimed that military units in the Belgorod, Bryansk and Rostov regions were expected to arrive at their home bases before June 1.

Yet NATO, which estimates that Russia has 40,000 troops along the border with Ukraine, repeated Wednesday it could not yet see any signs of a pullout.

"What we know thus far is that there has been certain troop movements, but I have received no confirmation, either through Pentagon sources or NATO sources, that there has been a wholesale repositioning of those troops off the border," U.S. Army Secretary John McHugh told reporters in Tallinn, Estonia, according to Reuters.

The Kremlin claimed that Russian President Vladimir Putin ordered the withdrawal Monday in an apparent attempt to ease tensions with the West over Ukraine and avoid further sanctions.

Putin said Wednesday that "those who aren't seeing it should look better." He said the pullout will be clearly visible in satellite images, according to Russian news agencies.

The pullout was meant to create "favorable conditions for Ukraine's presidential vote and end speculations," Putin told reporters in Shanghai, China, where he attended a security summit.

Russian television on Wednesday broadcast footage of columns of tanks and howitzers towed by heavy trucks. It wasn't immediately clear where the footage was taken.

The ministry said its units will make most of the journey by air or rail to reduce the pressure on highways.

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NATO says Russian forces not leaving Ukraine border despite Moscow claims