The UN Secretary General said that if a truce was called, humanitarian aid convoys were prepared to travel to people in hard-hit cities like Mariupol, Kherson, Donetsk and Luhansk.
The truce should be in place from Thursday to Sunday to coincide with Orthodox Church’s Easter and Holy Week.
“Instead of a celebration of new life, this Easter coincides with a Russian offensive in eastern Ukraine,” Mr Guterres said.
“The intense concentration of forces and firepower makes this battle inevitably more violent, bloody and destructive.”
US and Britain pledge more support
In a swift response to the intensified assault, US President Joe Biden and other allies have discussed increasing military, economic and humanitarian support for Ukraine and new ways to punish Russia.
Chancellor Olaf Scholz said Germany intended to supply Ukraine with anti-tank and air defence weapons as well as long-range artillery weapons.
British Prime Minister Boris Johnson also promised more artillery weapons.
“This will become an artillery conflict,” Mr Johnson said.
“They [Ukraine] need support with more artillery, that is what we will be giving them.”
The Italian government said there had been “broad consensus on the need to step up pressure on the Kremlin, including by adopting further sanctions, and to increase Moscow’s international isolation”.
-with AAP