WASHINGTON — The Senate will not consider the nomination of Loretta E. Lynch to be attorney general until it moves forward on a stalled human trafficking bill, Senator Mitch McConnell of Kentucky, the majority leader, said Sunday.

“I had hoped to turn to her next week, but if we can’t finish the trafficking bill, she will be put off again,” he said on the CNN program “State of the Union.”

Mr. McConnell said on Tuesday that he would hold a vote this week on Ms. Lynch’s nomination, which is the next item on the Senate’s agenda and is otherwise unrelated to the human trafficking bill.

The Senate reached an unexpected stalemate last week on bipartisan legislation that would combat human trafficking when Democrats said they had become aware of an anti-abortion provision in the bill.