"I can say with absolute certainty that I will run for one of two offices: either my state Senate seat or the governor," Davis told the National Press Club Monday.
Davis said she was "working very hard" to decide her next steps, The Hill reported Monday.
"I do think in Texas people feel we need a change from the very fractured partisan leadership we are seeing from our state leadership," she said.
Davis said she'd decide in the next few weeks. Her Senate term is up next year. Republican Gov. Rick Perry said he wasn't seeking re-election.
"Obviously, it's a huge task to take on. I want to make sure it's the right thing for me and also that it's something hopefully our state would want to see."
Davis has been urged to run for governor ever since June, when her 13-hour filibuster of a bill banning abortions after 20 months of pregnancy went viral. It wasn't enacted during the first special session, but was during a second special session.
Since she first rose to filibuster the bill, The Hill said, Davis has collected more than $1 million in campaign contributions.