WASHINGTON—Though the House and Senate have voted to repeal the deduction for state income taxes in Republican tax overhaul plans, it isn’t dead yet.

California Republicans are pushing for an income-tax deduction in the final tax bill being worked out by lawmakers in a House-Senate conference committee on tax legislation.

“There’s a lot of things that Californians are working on and why we said we’d move the process forward, looking to be able to make those fixes,” House Majority Leader Kevin McCarthy (R., Calif.) told reporters on Tuesday.

In November, 11 of the 14 California Republicans in the House voted for the tax bill; New Jersey and New York GOP members, with similarly high state taxes, were much more willing to vote no. The House will need to vote again, and Republicans need 217 votes to guarantee passage if no Democrats vote for the bill.

The House and Senate bills both repealed the deductions for state and local income and sales taxes, using that money to lower individual tax rates. They also preserved a $10,000 itemized deduction for property taxes.