(CNN) President Donald Trump has backed away from a proposal to ban flavored e-cigarettes, The New York Times reported Sunday.

A Trump campaign adviser told CNN's Jim Acosta that Trump's political aides, including campaign manager Brad Parscale, have warned him that such a ban may not be helpful with his base and that he should reconsider.

Trump was persuaded by advisers to back off the proposal during a November 4 flight to a political rally in Kentucky, the Times said. Following the conversation with advisers, the newspaper reported that Trump canceled the administration's planned announcement that was scheduled for the next day.

The planned news conference, which would have included Health and Human Services Secretary Alex Azar, was canceled and another meeting was proposed, according to the report.

Asked about the Times' story, White House deputy press secretary Judd Deere told CNN in a statement, "President Trump and this Administration are committed to responsibly protecting the health of children. At this time, we are in an ongoing rulemaking process, and I will not speculate on the final outcome."

Read More