Rep. Donna Edwards (D-Md.) and Rep. Xavier Becerra (D-Calif.) arrive for the first House Democratic Caucus meeting of the 114th Congress in Washington on Jan 7. (Chip Somodevilla/Getty Images)

Rep. Xavier Becerra said Wednesday that he is considering running for the seat of retiring Sen. Barbara Boxer, a fellow California Democrat.

"I'm going to take a very close look at it," he told reporters. "Obviously, I need to have the process move with due speed."

Becerra said he hopes to zero in on a decision in the "next few weeks." There are four votes he must win, he explained.

"I've got to get my wife and three daughters to say, 'We're there,'" the congressman said.

Becerra, the fourth-ranking House Democrat, joins a growing list of Democrats considering a run. Rep. Loretta Sanchez, former Los Angeles mayor Antonio Villaraigosa and billionaire climate activist Tom Steyer also are mulling a campaign.

State Attorney General Kamala Harris (D) announced this week that she is running. Harris, a rising star, is considered the early front-runner.