Washington (CNN) Under pressure from House conservatives, House Speaker John Boehner and other Republican leaders have scheduled a vote for Thursday night on a measure that would block a controversial abortion law passed by the Washington city council.

The law, approved in December, would ban city employers from taking punitive action against employees for using abortion services or birth control. Under the Constitution, Congress has the authority to nullify measures passed by the Washington city council.

But time is running out, because both the House and Senate need to pass a resolution of disapproval 30 days after the measure was transmitted to Capitol Hill. The House Oversight committee approved a resolution of disapproval last week, but the deadline for full congressional action on the bill is Friday. The House vote is expected around 10 p.m. Thursday and is expected to pass, mostly along party lines.

"We got a variety of members to push really hard on leadership to do the right thing," Texas Rep. Bill Flores, who heads the conservative Republican Study Committee, told reporters after learning their efforts prevailed to get a vote on the abortion measure.

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The House Oversight committee measure also passed on a party-line vote, but supporters grew frustrated when they weren't able to get leaders to lock in a full House vote. At a closed-door meeting of House Republicans on Wednesday, a group pressed leaders to bring up the resolution this week.

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