Davis, 50, gained national attention in June when on the last day of a special session, she mounted a filibuster against a sweeping anti-abortion bill that included strict regulations on clinics.
Though her filibuster was temporarily successful, Governor Rick Perry called another special session and the legislation passed.
Nonetheless, her effort got widespread national attention and donations came pouring in. She raised $1.2 million in just the six weeks following her 13-hour filibuster.
Democrats have urged her to run for governor against Republican state Attorney General Greg Abbott in the state's first open election since 1990.
Davis has trailed Abbot in early polling, but hopeful Democrats think she has a shot against the well-funded Republican, who entered the race with some $20 million.
Davis consultant Hector Nieto said the senator has made up her mind about 2014 and will unveil her plans next week.
“Sen. Davis has decided what she will do and she looks forward to making that announcement with her grass-roots supporters on Oct. 3,” Nieto said.
Though it would come as a big surprise to close allies if Davis were to reverse her decision before then, she has vowed that she will run for re-election in the state senate if she declines to run for governor.