Speaker John A. Boehner of Ohio has signaled he may embrace a series of limited changes to the nation’s immigration laws in the coming months, giving advocates for change new hope that 2014 might be the year that a bitterly divided Congress reaches a political compromise to overhaul the sprawling system.

Mr. Boehner has in recent weeks hired Rebecca Tallent, a longtime immigration adviser to Senator John McCain, the Arizona Republican who has long backed broad immigration changes. Advocates for an overhaul say the hiring, as well as angry comments by Mr. Boehner critical of Tea Party opposition to the recent budget deal in Congress, indicates that he is serious about revamping the immigration system despite deep reservations from conservative Republicans.

Aides to Mr. Boehner said this week that he was committed to what he calls “step by step” moves to revise immigration laws, which they have declined to specify.