The pontiff spent another tranquil night, the Vatican said in its brief morning statement.
A chest X-ray confirmed improvements, the Vatican said on Wednesday, just two days after days after doctors declared he's no longer in imminent danger of death.
The latest medical bulletin said that the 88-year-old pope's condition remained stable, but indicated a complex picture considering his overall fragility.
The Holy See has not said how the anniversary of his election as the 266th pope might be commemorated.
It is a public holiday at the Vatican and Masses are planned in his honour at churches in Rome. No medical bulletins will be issued.
Francis on Wednesday remotely followed a Lenten spiritual retreat that has been a mainstay of his papacy.
He continues to receive high flows of oxygen through nasal tubes during the day and a non-invasive mechanical mask to aid his rest at night.
The former cardinal Jorge Mario Bergoglio was elected on the fifth ballot of the 2013 conclave, which was called after Pope Benedict XVI resigned.
While Francis has praised Benedict's humility in stepping down and said he might follow in his footsteps, more recently he has said the papacy is a job for life.
Another milestone comes Friday, when Francis marks four weeks of hospitalisation.
St John Paul II has the record for a hospital stay, at 55 days in 1981 when he underwent a minor surgical operation and then was treated for a cytomegalovirus infection.
Francis is on track to equal the second-longest stay, 28 days, which John Paul recorded in 1994 when he had surgery to repair his right hip joint after he fractured his right femur in a fall, according to Gemelli hospital.
The Vatican has released no photos or video of Francis since he was admitted.
The Pope recorded an audio message last week to thank people for their prayers, though the weakness and breathlessness of his voice made clear how frail he was.
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