Dr. Gerald Lawrie, the heart surgeon at the Methodist DeBakey Heart & Vascular Center who performed the surgery, said the operation went well.
"I expect her to recover fully and soon resume her normal activities," he said.
The hospital said the former first lady was expected to be released in seven to 10 days.
Mrs. Bush was said to be up and talking just hours after the procedure, according to a family spokesman.
"Everything's status quo. She continues to recover, and everybody's pleased with her progress," said Jim McGrath.
Former President George H.W. Bush reportedly spent the night at his wife's bedside.
"I am very impressed with and grateful to the wonderful team of doctors and nurses at The Methodist Hospital who have helped Barbara," the former president said. "We have every confidence she is in the best hands."
This is the second surgery in four months for Mrs. Bush. Last November, she was operated on for a perforated ulcer, after feeling pain she described as "worse than childbirth."
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