"If there is a need to convene a meeting at the ministerial level, we are ready to consider such a possibility, taking into consideration that there will be an understanding of the issues up for discussion and, most significantly, what results can be achieved [at the meeting]," the source said.
The source added that at the moment Moscow and Washington are cooperating on the issue withing the framework of two working groups that focus on a number of humanitarian and ceasefire issues.
Syria has been mired in civil war since 2011, with government forces fighting against numerous opposition factions and extremist groups.
The international community, including Russia, the United States and key European and Middle Eastern states, is undertaking steps to end the Syrian conflict and put an end to the violence. In February, Russia and the United States reached an agreement on a ceasefire in Syria, which took effect the same month.