Speaking at a daily press briefing on Tuesday, Bruce said the negotiations would focus “solely” on the functioning of the respective embassies, “not on normalising a bilateral relationship overall”.
That “can only happen, as we’ve noted, once there is peace between Russia and Ukraine,” he said.
Earlier talks in February focused predominantly on conditions for each country’s diplomats.
Russia’s Foreign Ministry spokeswoman Maria Zakharova also said the second round of normalisation talks would take place “in the coming days”.
Over the past decade, Washington and Moscow have expelled numerous diplomats and restricted the appointment of new officials. Diplomatic ties were then all but severed after Russia’s full-scale invasion of Ukraine in 2022.
However there has been a thaw in relations under the Trump administration.
In February US and Russian officials met in Saudi Arabia for their first face-to-face talks since the invasion to discuss how to end the war in Ukraine.