The Kremlin has accused the United States of setting conditions on the return of the compounds in NY and Maryland.
"We have repeatedly said that we think any conditions are unacceptable".
The Kremlin spokesman said Russia still has hope that "our American colleagues will show political wisdom and political will" and return the properties to Russian use.
Russian foreign minister Sergei Lavrov slammed the United States for refusing to return diplomatic properties seized after Moscow interfered in the 2016 presidential election, calling it "daylight robbery", according to a report on Monday.
Obama ordered the seizure of the diplomatic compounds in Maryland and New York State, as well as the expulsion of 35 Russian diplomats, in response to what he said was their involvement in efforts to influence the election of his successor.
Peskov did not comment on a meeting later on Monday in the USA between Russian Deputy Foreign Minister Sergey Ryabkov and State Department Undersecretary for Political Affairs Thomas Shannon, who will discuss the matter.
Russian officials have repeatedly called for the unconditional restoration of access to the diplomatic compounds, saying Moscow's patience is running out.
The Russian President held off from retaliating at the time and said he would wait to see how Mr Trump reacted after he came into the White House.
There was political speculation in Washington that President Donald Trump would quickly return the compounds to Russian Federation when he took office in late January, but he did not.
The White House has faced a maelstrom of United States investigations into possible collusion between Russian Federation and the Trump campaign.
Trump has repeatedly cast doubt over the U.S. intelligence community's assessment that Russian intelligence agencies interfered in the election. But Russian Foreign Ministry spokeswoman Maria Zakharova warned last month that the Kremlin could retaliate if the compounds were not returned.