(CNN) British Prime Minister Theresa May suffered another setback to her Brexit withdrawal deal Tuesday as members of her own Conservative Party joined opposition Labour Party MPs in favor of a vote to curb the government's spending powers if Britain fails to secure an agreement deal on its departure from the European Union.

Parliamentary members voted 303 to 296 in favor of an amendment to the Finance Bill that will restrict May from amending taxes to cope with the consequences of crashing out of the European Union without an agreement.

The measure isn't expected to carry significant weight in the event of a no-deal Brexit. Robert Jenrick, a Conservative MP and the exchequer secretary to the Treasury said the Finance Bill amendment would only allow MPs power to make "minor technical changes."

But the vote did carry symbolic weight: Parliamentarians are pushing back on a no-deal scenario

Labour leader Jeremy Corbyn called the vote an "important step to prevent a no-deal Brexit," saying it proved there is no parliamentary support for a no-deal Brexit.

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