Embassy press attache Anastasia Fyodorova said: "We are now working in advance. As soon as we receive the lists, we'll launch the process immediately."
The diplomats declined to specify the timeframe for the humanitarian operation, saying that the main task now was to promptly identify Russian nationals for evacuation and verify lists with Israeli authorities.
Since the launch of Israeli massive airstrikes on Gaza on Saturday in response to rocket and mortar fire by Hamas militants on southern Israel, more than 270 Palestinians are reported to have been killed.
Most Russian nationals in the Gaza Strip are women married to Palestinians and their children.
The UN Security Council called early on Sunday for an immediate halt to all military activities in Gaza. The non-binding statement adopted by the 15-member body calls for an immediate halt to all violence and urges the parties to immediately stop all military actions.