The 54-year-old singer needed the procedure to relieve pressure on his brain, said publicist Kirt Webster. The Grammy Award-winning singer had been improving while being treated for heart failure caused by a viral infection when he had the stroke.
Country music fans and stars are joining together, urging prayers for Travis' health.
Travis had been in good health until a few weeks ago when he contracted an upper respiratory infection. The viral illness led to a weakened heart muscle that eventually worsened into heart failure.
Travis was admitted to Baylor Medical Center McKinney near his home in Tioga on Sunday. He was then transferred to The Heart Hospital Baylor Plano.
Webster said from the hospital that Travis' fiancee Mary Beougher was at his side and that he is surrounded by family and friends, including his brother, Dennis Traywick, and his pastor, Jeff Perry. Kenny Rogers, the Oak Ridge Boys, Chuck Norris and several others have called to check in on Travis.
The North Carolina-born Travis is a traditional country purist known for hits "Forever and Ever, Amen" and "I Told You So." His 1986 Warner Bros. debut album "Storms of Life" sold 4 million copies, and helped return country music to the sound of Hank Williams and George Jones.
The Associated Press contributed to this report.