In the near term, Vatican officials are gaming out possible scenarios for Leo to recite the traditional Sunday noon Angelus prayer.
Vatican media personnel were seen at the Gemelli hospital laying cables for a possible live broadcast, as past popes have done when hospitalised.
Cardinal Pietro Parolin, the Vatican secretary of state, said a recitation of the noontime prayer on Sunday from the hospital was a possibility, but would depend on how Leo's post-operative recovery progressed.
Such appearances have often served as a welcome confirmation of a hospitalised Pope's wellbeing for the 1.4 billion-strong Catholic faithful and others.
Parolin said he remained concerned about the Pope, but indicated that was also a function of his surprise at learning that Leo needed surgery.
"We can't make any type of predictions," Parolin said Thursday on the sidelines of a diplomatic event, according to the LaPresse and ANSA news agencies.
"The question now is when he will return, under what circumstances he will return, and what the doctors say. And based on all these factors, the Pope will then adjust his pontificate, if it needs to be adjusted," he was quoted as saying.
The 71-year-old Leo had the lower lobe of his right lung removed on Tuesday after doctors identified a suspected cancerous nodule.
The surgery confirmed he had adenocarcinoma, the most common type of lung cancer.
On Thursday, the American Pope resumed working from his hospital room and met with his chief of staff, while continuing with respiratory physiotherapy.
His doctors said tests showed his lung had recovered well from surgery, that other post-operative tests were in the norm and that overall his recovery was proceeding as expected.
Doctors are still awaiting the results of tests to understand the precise molecular and genetic make-up of the cancer, whether it has spread beyond the lobe and whether any further treatment is necessary.
