Evangelist Billy Graham resting well at North Carolina hospital

(CNN) — Evangelist Billy Graham is “doing fine” while being treated at a North Carolina hospital for a pulmonary infection, his spokesman said Monday.

On Sunday, Graham “rested well during his first night” at Mission Hospital in Asheville, A. Larry Ross wrote in an e-mail.

“He is up having breakfast and doing fine early Monday,” Ross wrote.

Graham was admitted to the hospital for treatment of what is believed to be bronchitis, officials said Sunday in a news release.

“Upon admission, he was alert and in good spirits,” said the statement, which was released both by Mission Hospital and the Billy Graham Evangelistic Association.

The 93-year-old also was hospitalized for pneumonia last November, six months after similarly being admitted to a hospital for the same condition. Since then, he has remained “in good overall health … though he continues to remain at home due to age-related conditions,” according to the hospital and the association.

The influential preacher went to the hospital for treatment for bronchitis and after developing a “slight fever overnight,” Ross said via Twitter.

He is being treated with oral antibiotics and improving, at one point Sunday even sitting up in bed to remotely watch his grandson Will Graham give a guest sermon at First Baptist Church in Spartanburg, South Carolina, Ross later said. Graham had no fever by Sunday morning, Ross said.

“Doctors are encouraged by his progress, and he’s been alert all day … taking meals (and) sitting up in bed,” Ross said Sunday night.

Physicians expect Graham to remain in the western North Carolina medical facility for “a couple of days,” according to Ross, who earlier noted that “no date has been set for discharge.”

“He’s made farther progress than for previous hospitalizations (for pulmonary infections),” Ross said, adding that Graham is “in good hands” and “feels comfortable” at Mission Hospital, where he has previously been treated.

Graham, a resident of Montreat, about 18 miles east of Asheville, has provided counsel to generations of U.S. presidents, beginning with Harry S. Truman, and is the founder of the Billy Graham Evangelistic Association.

The Charlotte native has preached to untold millions over six decades, beginning his missionary work in 1944 when he started speaking at rallies for the Youth for Christ Campus Life ministry. Five years later, Graham was holding crusades in tents in downtown Los Angeles.

Originally scheduled for three weeks, the crusades drew so many followers, they were extended to seven. His “last crusade” in June 2005 drew 230,000 people.

Even with his advanced age and health issues, Graham remains “actively involved in ministry and writing projects,” his evangelistic association and the hospital said. That includes writing a new book, which is almost done, “summarizing his Gospel message over the past seven decades of public ministry.”

He also has weighed in on hot-button issues of late, including supporting North Carolina’s constitutional amendment to ban gay marriage, which voters passed earlier this year, and last month defending the president of the Chick-fil-A restaurant chain for his opposition to same-sex marriage.

Also in July, in a letter released by his organization, Graham leveled deep criticism at the United States. He compared the country to Sodom and Gomorrah, the biblical cities synonymous with sin.

“Self-centered indulgence, pride and a lack of shame over sin are now emblems of the American lifestyle,” Graham wrote.

CNN’s Greg Botelho contributed to this report.