"It is long overdue that this council condemns the Syrian government for its reign of chemical terror and demands global accountability for those responsible for these heinous acts", Mr Ward said in comments obtained by Reuters.
However, said two other officials, Defense Secretary Jim Mattis and other military leaders have warned that the larger the attack, the greater the risk of a confrontation with Russian Federation.
The strikes were the biggest intervention by Western powers against Assad in the country's seven-year-old civil war and pitted the United States and its allies against Russian Federation, which itself intervened in the war in 2015 to back Assad.
Russian officials - both from Moscow and speaking at the United Nations - alleged quickly after Saturday's suspected attack that the images of the victims in Douma were fake.
"We are continuing to assess intelligence and are engaged in conversations with our partners and allies", it said.
"Just deterring this act with a few airstrikes and not looking at the consequences for Syria wouldn't be a fully fleshed-out action", said another senior administration official.
But, equally, there are reports from Syria that some regime forces may be gathering in Russian-protected bases for shelter. Syria's civil war, which began as a popular uprising against Assad, is now in its eighth year.
Russian Federation and Iran have warned the U.S. and its allies of grave consequences following America's attack on a Syrian "chemical weapons sites", in collaboration with United Kingdom and France.
Since taking office past year, Trump has tried to build stronger ties with Putin.
Striking a conciliatory note, Macron's office said: "The President of the Republic called for dialogue with Russian Federation to be maintained and stepped up to bring peace and stability back to Syria".
From the White House, there is still hope that Russian Federation will change its posture, and Trump's informal invitation for an eventual meeting with Putin hasn't been rescinded.
Western countries accused Moscow on Monday of preventing inspectors from reaching the site of a suspected poison gas attack in Syria and said Russians or Syrians may have tampered with evidence on the ground.
While the disinformation campaign surrounding Syria is a Kremlin-led effort, Trump allies have played a major role in the success of the campaign by bringing Russia's propaganda to an American audience. "That said, the president has been consistent and tough on Russian Federation". "On the one hand, not hitting Assad harder would be a sign of weakness".
Earlier, French President Emmanuel Macron spoke by phone with Putin and expressed concern about a worsening situation.
SIMON: Charles, remind us, again, what is the Russian interest in Syria?
Russia's U.N. ambassador said the United States appears to have adopted a policy to "unleash a military scenario against Syria", saying Moscow continues to observe "dangerous" military preparations. It does not, however, remove the need to formulate Russia's own strategy in Syria that might go beyond supporting an internationally ostracized and regionally condemned regime.
Chuck Holton, a war correspondent for the Christian Broadcasting Network and frequent contributor to NRATV, also joined the chorus of right-wing voices this week, claiming that the April 7 chemical attack could be a "false flag".
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