WASHINGTON — President Obama, after a rocky year that leaves him at the lowest ebb of his presidency, is bringing into his White House circle the longtime Democratic strategist John D. Podesta, a former chief of staff for President Bill Clinton.

Mr. Podesta, who has agreed to serve as counselor for a year, led Mr. Obama’s presidential transition in 2008 and has been an outside adviser since then. He also has occasionally criticized the administration, if gently, from his perch as the founder and former president of the Center for American Progress, a center-left public policy research group that has provided personnel and policy ideas to the administration.

Word that Mr. Podesta would for the first time join Mr. Obama’s official staff, from people familiar with the discussions, comes as the president is seeking to recover public support and credibility after the flawed introduction in October of the insurance marketplaces that are a key part of his signature Affordable Care Act. This week he brought back his former chief congressional lobbyist, Phil Schiliro, who had moved to New Mexico, to help on the health care issues.

Mr. Podesta’s recruitment, by Mr. Obama’s chief of staff, Denis McDonough, also comes as Mr. Obama faces a number of departures by close advisers in the coming months.