At least four prominent Democrats are eyeing bids to succeed Udall, multiple sources familiar with their thinking said, including two statewide-elected officials and two members of Congress.

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State Attorney General Hector Balderas (D) may be the first candidate out of the gate. Balderas, 45, will announce his intentions Thursday morning on an Albuquerque radio station. A spokesman said Balderas would release a video at the same time, a strong indication that the two-term attorney general is moving toward a Senate bid.

Secretary of State Maggie Toulouse Oliver (D) is also likely to jump in the race, according to one senior New Mexico Democrat who had spoken directly to her. Oliver, first elected statewide in 2016, has raised her profile this legislative session by pushing an ambitious package of voting rights measures.

Perhaps the most prominent Democrat eyeing the race is Rep. Ben Ray Lujan (D), the No. 4 Democrat in House leadership. In the 24 hours since Udall announced his retirement, dozens of friends from New Mexico and Democratic colleagues in the Capitol reached out to Lujan and encouraged him to run. Sources close to Lujan say he is leaning toward jumping in the Senate race.

"I've been humbled by the amount of calls and encouragement that we've been getting from around New Mexico. So we're going to continue to visit with people from around the state, and consider how best we can serve the beautiful state that I call home," Lujan told The Hill.

He declined to say whether he would run, praising Udall's two terms in the Senate.

A source close to Lujan said future thoughts of moving up the leadership ladder were not factors in his deliberations about whether to run for Udall's Senate seat.