European Union ministers are expected to back the suspension of a 2007 deal with Moscow that gives preferential treatment to Russian visa applications.
The news was reported by the Financial Times, citing European Union officials involved in the talks.
Several countries have called for collective action to ban Russians from traveling to the EU on tourist visas, as the union tries to punish Moscow for its invasion of Ukraine while maintaining unity among its 27 members.
"It is inappropriate for Russian tourists to roam around our cities, our ports. We need to send a signal to the Russian people that war is not OK, it is not acceptable," said a senior EU official involved in the talks.
Parts of the 2007 visa facilitation agreement with Moscow related to the free movement of government officials and businessmen have been suspended shortly after Russia launched its invasion of Ukraine on February 24.
The Czech Republic and Poland stopped issuing visas to Russian tourists shortly after the invasion of Ukraine began.
These two countries have demanded that the EU introduce a complete ban, something that Ukrainian President Volodymyr Zelenskiy has also demanded from the European bloc.