"It's time to stop rewarding companies that send jobs to other countries and instead support businesses creating jobs here at home," she said earlier this year when the first version of her bill was introduced.

Under current law, companies can deduct the cost of moving people and equipment overseas from their tax bill. Stabenow's bill would eliminate that deduction, and create a new 20 percent tax credit for all costs associated with moving overseas jobs back into the United States.

The bill has the support of President Obama.

The Disclose Act, which would require companies and other groups to report all campaign spending more than $10,000, is expected to fail in a 3 p.m. procedural vote Tuesday. On Monday, Republican senators voted against a motion to limit debate on a motion to proceed to the bill, and are expected to vote against a similar vote Tuesday, preventing the Senate from taking up the bill.