Williams was among the Republicans prepared to replace U.S. Sen. Kay Bailey Hutchison in 2010. She announced last week that she will step down when her current term expires, leaving an open seat in the 2012 election.
On his Twitter page Williams wrote that he "shouldn't directly address your questions about my Senate race intentions." But he added: "People get ready!!"
Corbin Casteel, a Williams political consultant, said: "Chairman Williams will have more to say later in the week. Today is a day for Dr. Martin Luther King."
Williams may also resign to concentrate on the Senate campaign to avoid campaign finance complications.