"I have agreed with the Ethiopian prime minister (Abiy Ahmed) to meet in Moscow and discuss the subject to move forward," said Sisi, without giving a date.
"Hopefully... the issue will be resolved," he said in a televised address tackling the impasse reached in drawn-out talks with Sudan and Ethiopia on the giant hydropower Grand Renaissance Dam.
African leaders are expected to attend a Russia-Africa summit, co-chaired by Sisi, in Sochi later in October.
Egypt has urged international mediation after saying the latest round of Nile talks which ended earlier this month hit another "deadlock".
Ethiopia, which says its project is needed to provide electricity, has rejected the call.
But Egypt is concerned the huge dam would severely reduce the flow of Nile waters and invokes its "historic rights" under decades-old treaties.
On Sunday, Sisi said: "We want to ensure that filling the (dam's) reservoir and its operation would not seriously harm Egypt."
Ethiopia has said the $4-billion-dam will begin generating power by the end of 2020 and be fully operational by 2022.
The Nile is the world's longest river and serves as a crucial artery for water supplies and electricity for the 10 countries it runs through.
Its main tributaries - the White Nile and the Blue Nile - converge in Khartoum before flowing north through Egypt to drain into the Mediterranean Sea.
Analysts fear the three Nile basin countries could be drawn into a conflict if the dispute is not resolved before the dam begins operating.
Follow us on Twitter: @The_NewArab