Berlin has streamlined its processes for asylum seekers fleeing Mr Putin’s invasion of Ukraine, whether it be from the war-torn country of Russia.
Ms Faeser said the system for offering people shelter had been made “quick and unbureaucratic”.
Asylum applications would be inspected on a case-by-case basis, and be subject to stringent security checks, the interior minister added.
Marco Buschmann, Germany’s justice minister, wrote on Twitter: “Apparently, many Russians are leaving their homeland – anyone who hates Putin’s path and loves liberal democracy is welcome in Germany.”
But Berlin appeared to be alone in its offer to shelter Russians facing conscription, with Latvia, Lithuania, Estonia and Poland shutting their borders with Russia.
A spokesman for Britain’s Home Office said normal rules would apply for Russians applying for asylum in the UK.
300,000 set to be called up to fight
Germany has already welcomed around a million Ukrainians fleeing the Russian invasion, as well as a small number of Russian dissidents.
More than 400 Russians – most of them journalists critical of Mr Putin’s regime – have been offered political asylum by Berlin since the start of the war.
Russia has around 25 million reservists at its disposal, with all Russian men required to do a year’s military service between the ages of 18 and 27.
Some 300,000 are expected to be called up as part of the Russian president’s mobilisation.
But there are fears a secret law passed by the Kremlin leader could mean up to 1,000,000 Russians are sent to fight in Ukraine.
The Kremlin denied that its decree could allow one million Russians to be enlisted.