A letter signed by 20 GOP House members from Texas praises Hutchison's service and says her experience is needed more than ever during this period of "sweeping change." A copy of the letter, dated Sunday, was obtained by The Associated Press on Tuesday.
While Hutchison's office confirmed receiving the letter, the senator didn't comment to the AP.
The GOP congressional members cited Hutchison's accomplishments and noted that she's the only woman ever elected to represent Texas in the U.S. Senate.
Hutchison lost her Republican primary race for governor to Gov. Rick Perry this month. She has said she would leave office after federal health care debate is completed.