"It is very important that aid reaches people in Luhansk and in other areas in the eastern region which have sustained heavy fighting over the past weeks," ICRC head of operations for Europe and Central Asia, Laurent Corbaz, said in a statement Monday.
"The situation is critical, thousands of people are without any access to water, electricity and medical aid," Xinhua quoted Corbaz as saying.
In response to the latest initiative of the Russian authorities to help people and areas affected by conflict in eastern Ukraine, the ICRC is ready to facilitate such an operation with the involvement, endorsement and support of all sides concerned.
On Monday ICRC officials met Ukrainian and Russian authorities and shared a document which specifies the manner in which such an operation could take place.
This includes an agreement by all sides that the ICRC will be allowed to deliver aid with neutrality, impartiality and independence.
According to the UN, the conflict in eastern Ukraine has claimed the lives of over 1,500 people and injured 4,390.
Almost 850,000 people has been displaced and forced to flee their homes.