Perry, after a luncheon speech to a Lions Club in Conroe, told The Associated Press that he intends to complete the full four years if he's re-elected next year to a third term.
Palin resigned in a surprise announcement last week before completing her first term in office.
Republican Perry already is the longest-serving Texas governor. He faces a likely tough primary fight from U.S. Sen. Kay Bailey Hutchison.
The latest news from around North Texas.
Palin was the GOP vice presidential nominee in 2008.
Governor Perry's spokesman told NBCDFW.COM a campaign stop with Palin has not been set.