The second thoughts are coming in reaction to heated opposition to the plan, the Washington Post reported.
New York's governor also ridiculed Democrats calling for higher taxes on the wealthy, saying it would exacerbate the shortfall.
Both governors set legalization as a goal during their state of the state speeches on Tuesday.
The law would guarantee two weeks paid vacation or personal time to every employee.
The program will begin later this year in the Bronx and will be available to all New Yorkers in 2021.
The New York Times reported that Trump received vastly more from his father than he has previously stated.
Eric Schneiderman said he’ll resign today, although he denies the claims.
Trucks would pay a $25.34 congestion fee under plan by a state task force.
State income taxes would end and be replaced by a deductible payroll tax under the plan.
New York's governor says the new Republican tax law discriminates against states that voted against Donald Trump.