(CNN) - Dan Senor, a Defense Department adviser to former President George W. Bush, will announce within the next month whether he will run for the U.S. Senate in New York, multiple sources confirm to CNN.
Three sources, all prominent New York Republicans, also say that Senor is being encouraged by state party leaders to challenge Democratic Sen. Kirsten Gillibrand.
Another source familiar with the situation tells CNN that Senor "is talking with state Republican leaders and that there are a lot of people pushing him to do it." The source adds that Senor "will make an announcement, either way, within a few weeks."
National Republicans are open to a potential Senor candidacy, but are not yet getting behind any specific candidate at this point in time, two additional sources tell CNN.
Senor, 38, is currently a private equity executive and author. He served as an adviser to Sen. Spencer Abraham of Michigan in the 1990's and worked for the Defense Department during the buildup to the Iraq war. After the invasion, Senor became an adviser and chief spokesman for Paul Bremer, the head of the Coalition Provisional Authority in Iraq.
Senor is married to CNN anchor Campbell Brown, who is not commenting on the speculation about her husband's plans.
Gillibrand was appointed to the Senate last year by New York Gov. David Paterson to replace Hillary Clinton, who stepped down to become secretary of state. The Democratic establishment has lined up behind Gillibrand, effectively clearing the field of any primary challengers who might have been thinking about taking on the freshman senator.
Republicans are currently without a big name candidate in the contest. Former New York City Mayor and 2008 GOP presidential candidate Rudy Giuliani has said no to a Senate run, as has nine-term Rep. Peter King. Former New York State Gov. George Pataki has expressed no interest in wanting to make a bid. Earlier this month, magazine editor and publisher and real estate billionaire Mort Zuckerman, after expressing interest, also declined to run.