But no such request has yet come from Russia, emphasizes the presidential administration, which accuses Moscow of "indifference" towards its citizens.
More than 1,500 civilians are still living in areas that Ukraine captured in a surprise offensive in the Russian border region in August. Russia has since the Ukrainian incursion recaptured some of its territory, but Ukraine still occupies several settlements near the town of Sudzha.
Russians have demanded that Russian authorities do more for relatives who are stuck on the other side of the front line.
Moscow stated earlier on Thursday that they were doing "everything" they could, but refused to publicly comment on the idea of a humanitarian corridor.
This issue depends on contacts being made by our military. They cannot, of course, be publicly disclosed, replied Kremlin spokesperson Dmitry Peskov to reporters' questions about such a solution.