The US State Department has said Russian Federation - whose air force is also striking Eastern Ghouta - has a "unique responsibility" for the mounting death toll in the besieged enclave.
The meeting, however, has already been delayed multiple times as negotiations continue over the wording of the draft resolution.
The vote is set to take place on Friday.
He said the council will meet at noon EST on Saturday and there will be a vote.
Skoog said the council members were "very very close" to consensus on Friday but they were not able to close the gap completely.
"I will say what Russian Federation and what Iran and what Syria have done recently is a humanitarian disgrace".
"The whole E10 are here to show that we are all united and we want the draft resolution to be adopted today at 2:30", Kuwaiti ambassador to the United Nations Mansour Al-Otaibi, who is president of the Security Council for February, told reporters.
Following the meeting, European Union leaders' chairman, Donald Tusk told reporters: "The Assad regime is brutally attacking innocent men, women and children".
Macron and Merkel also appealed to Putin to halt bombardments of the rebel-held territory of eastern Ghouta. "I think we all agree that there needs to be a ceasefire that has to be urgent immediately". The resolution does not cover the groups Islamic State, al Qaeda and the Nusra Front, which Moscow and Damascus say they have targeted in eastern Ghouta.
Syria's eastern Ghouta district has for the past week sustained bombings by Syrian warplanes that have left at least 462 people dead, according to the Syrian Observatory for Human Rights.
Eastern Ghouta, which houses around 400,000 residents, has remained under a crippling regime siege for the last five years. "We are not going to give up because the situation on the ground calls for a Security Council resolution that demands a cease-fire", said Skoog, referring to the recent escalation of violence. It is home to about 400,000 people.