Dmitrijev, who previously participated in negotiations between the USA and Russia in Saudi Arabia on a stop to the Russian war of aggression against Ukraine, is expected to meet Trump's envoy Steve Witkoff in Washington.
The meeting is to focus on strengthening the relationship between the USA and Russia, according to an American government source and two other anonymous sources with insight into the plans to CNN.
The Kremlin's spokesperson Dmitrij Peskov says on Wednesday that Dmitrijev's visit "may be possible" during the week, but does not want to go into further details.
We continue to talk to the Americans, he says.
It is the first time a high-ranking Russian representative has visited Washington for talks since Russia launched its large-scale invasion of Ukraine in 2022, writes CNN.
The USA has temporarily lifted sanctions against Dmitrijev in order to grant him a visa to visit the USA, according to one of CNN's sources.
The White House and the Kremlin have not commented on the reports to CNN.