On Monday, the president said he isn't ruling out military action.
Mr Trump has pledged a "forceful" response, and has spoken of numerous military options.
US Ambassador to the UN Nikki Haley told Security Council diplomats that the United States wanted a vote on the measure, but Russian Federation said it contained "some unacceptable elements".
"We have reached the moment when the world must see justice done", Haley said.
France will retaliate against the government of Syrian President Bashar al-Assad if evidence emerges that it was behind a recent suspected chlorine gas attack in a rebel-held enclave, government spokesman Benjamin Griveaux said Tuesday.
U.S. Ambassador Nikki Haley told the Security Council on Monday that both Russian Federation and Iran could stop the Syrian government's "murderous destruction", adding that Moscow's hands are "covered in the blood of Syrian children".
May said she would chair a meeting of Britain's National Security Council later on Tuesday.
The decision came after an apparent chemical weapons attack on civilians in Syria.
Parliament voted down military action against President Bashar al-Assad's government in 2013, in a major embarrassment for May's predecessor David Cameron that then deterred the USA administration of Barack Obama from similar action.
It "should always be given a say on any military action", Corbyn said.
The US's military commitment to Syria, however, remains tiny compared to the US's involvement in Afghanistan and Pakistan. "There's no need to go to there, the Prime Minister should take direct action then go to Parliament afterwards".
Syria's Foreign Ministry said Washington is using the alleged chemical attack as a pretext to target Syria. Syria and Russian Federation have offered to coordinate with the authorities concerned over the inspection visit.
He added of Russian president Vladimir Putin, "everybody's going to pay a price - he will, everybody will".
"We are using the veto in order to protect global rule of law, peace and security, to make sure that you do not drag the Security Council into your adventures", Nebenzia said.
Mr Johnson discussed the situation with acting USA secretary of state John Sullivan twice on Monday.
He has been on the phone to leaders of France and the United Kingdom, who will likely take part in any strikes.
Syria has denied accusations it unleashed a gas attack on the town of Douma, the last opposition town in the battered enclave of Eastern Ghouta near Damascus.
Families were reportedly found suffocated in their homes and shelters, with foam on their mouths.
The Syrian-American Medical Society said more than 500 people were brought to medical centres with symptoms "indicative of exposure to a chemical agent".
The OPCW has worked in relative obscurity since it was founded in 1997 to oversee the implementation of the Chemical Weapons Convention, an arms control treaty that bans the development, production, possession and use of chemical weapons.
As NPR's Michele Kelemen reports, the resolution "would condemn the latest reports of a chemical attack and demand access to the scene in Douma".