YLE reported last week that Russian companies have started offering car trips from St. Petersburg to the airports of Helsinki and Lappeenranta in Finland, which have direct connections to several places in Europe.
Russia's second-largest city is about 300 kilometers (186 miles) from the Finnish capital.
Visas issued by Finland are valid across most of Europe's travel zone, known as the "Schengen area" which is made up of 26 countries: 22 EU nations plus Iceland, Liechtenstein, Norway and Switzerland.
Normally, people and goods move freely between these countries without border checks.
Some EU countries no longer issue visas to Russians, including Latvia, which made that move this month because of the war.
The issue of visas for Russians will be discussed at an informal meeting of EU foreign ministers on August 31, YLE said.
"I would believe that in future European Council meetings, this issue will come up even more strongly. My personal position is that tourism should be restricted," Marin told the Finnish broadcaster.
During the coronavirus pandemic, Helsinki and Moscow temporarily shut down the border, putting an abrupt stop to visits to Finland by nearly 2 million Russian tourists who gave a boost to the local economy each year.
Finland shares a 1,340-kilometer (832-mile) land border with Russia, complete with several crossing points in what is one of the European Union's longest external borders.