White House spokesman Jay Carney today endorsed House Republicans’ strategy to pass a piece-by-piece rewrite of the nation’s immigration laws.

“The outcome has to be comprehensive immigration reform,” Carney told reporters. “How we get from here to there in the House is an open question,” he said, reversing prior demands for House passage of a single large, or comprehensive, rewrite.

President Obama and his aides have repeatedly urged passage of a final bill that would boost immigration levels and provide citizenship to at least 11 million illegal immigrants, who prior demographic trends indicate would lean toward voting for Democrats.