WASHINGTON — The Obama administration scrambled on Tuesday to slow Congressional opposition to the National Security Agency’s domestic spying operations as the House of Representatives prepared to vote on legislation that would block the agency’s collection of records about every phone call dialed or received inside the United States.

Gen. Keith B. Alexander, the N.S.A. director, met with Democrats and Republicans to lobby against a proposed amendment to a military appropriations bill that would stop the financing for its phone data collection program. The Republican-sponsored legislation is one of the first Congressional efforts to curb the agency’s domestic spying efforts since they were leaked by Edward J. Snowden, a former N.S.A. contractor.

Later on Tuesday, the White House issued a statement praising the idea of a debate about surveillance but denouncing “the current effort in the House to hastily dismantle” the call tracking program, urging lawmakers to vote down the legislation and instead conduct a “reasoned review of what tools can best secure the nation.”