The White House is also coordinating with key Congressional committees moving forward with their own ban.
Europe relies on Russia for crude oil and natural gas but has become more open to the idea of banning Russian products in the past 24 hours, a source familiar with the discussions told Reuters on Sunday.
Meanwhile, US House of Representatives Speaker Nancy Pelosi also said in a Sunday letter that the chamber is "exploring" legislation to ban the import of Russian oil and that Congress intends to enact this week $US10 billion in aid for Ukraine in response to Moscow's military invasion of its neighbour.
The White House is also talking with the Senate Finance Committee and House of Representatives Ways and Means Committee about a potential ban, the source said.
Still, Blinken also stressed the importance of maintaining steady oil supplies globally.
"We are now in very active discussions with our European partners about banning the import of Russian oil to our countries, while of course, at the same time, maintaining a steady global supply of oil," Blinken said in an interview on NBC's "Meet the Press" show.
Blinken, who is on a trip across Europe to coordinate with allies the response to Russia's invasion of Ukraine, also said he discussed oil imports with President Joe Biden and his cabinet on Saturday.
Japan, which counts Russia as its fifth-biggest supplier of crude oil, is also in discussion with the United States and European countries about possibly banning Russian oil imports, Kyodo News reported on Monday.
Oil prices have soared over the past week after the United States and its allies sanctioned Russia over the invasion.
A bipartisan group of US senators introduced a bill on Thursday to ban US imports of Russian oil. The bill is getting fast-tracked and could ultimately become the vehicle for the sanctions.
After Russia invaded Ukraine, the White House slapped sanctions on exports of technologies to Russia's refineries and the Nord Stream 2 gas pipeline, which has never launched.
So far, it has stopped short of targeting Russia's oil and gas exports as the Biden administration weighs the impacts on global oil markets and US energy prices.
Asked if the US has ruled out banning Russian oil imports unilaterally, Blinken said: "I'm not going to rule out taking action one way or another, irrespective of what they do, but everything we've done, the approach starts with coordinating with allies and partners," Blinken said.
Americans are by far the world's heaviest consumers of petrol, thanks to big cars, long driving distances and little public transportation in many areas. Rising petrol prices have traditionally been political poison for US leaders.
US consumers are on average paying 40 cents more than a week ago, and 57 cents more than a month ago.
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