WASHINGTON — President-elect Donald J. Trump is making his influence felt on government funding deliberations in Congress, pressing Republican leaders to postpone action on spending bills until after he takes office.

Speaker Paul D. Ryan said on Thursday that the House would go along with the incoming administration’s request and pass a stopgap spending bill that would keep the government running at current spending levels until March. “I think they would like to have a say-so on how money’s going to be spent going into the next year,” he told reporters.

But Republican leaders in the Senate did not immediately sign on to the plan, reflecting their desire to get contentious spending battles out of the way this year. Congress had been working toward agreement on spending bills by Dec. 9, when the current funding agreement expires.

Senator Mitch McConnell of Kentucky, the Republican leader, left open the possibility of an agreement with the House. “Discussions are also ongoing about how to fund the government and for how long,” he said on the floor on Thursday.