Many of the Ethiopians at the embassy were seen carrying their personal documents.
A young man waiting at the entrance told the BBC that he’s looking for a good salary as a soldier or to be hired in any other job available.
“I also like Russia,” he said.
Others said they had heard rumours of high wages in Russia.
Ethiopia was among countries that missed a UN session to vote on a resolution on the Russian invasion in Ukraine.
Some 17 African countries including South Africa abstained from the vote.