Pope Fran­cis’ com­plex res­pi­ra­to­ry in­fec­tion isn’t life-threat­en­ing, but he’s not out of dan­ger, his med­ical team said Fri­day, as the 88-year-old pon­tiff marked his first week in the hos­pi­tal bat­tling pneu­mo­nia in both lungs along with a bac­te­r­i­al, vi­ral and fun­gal in­fec­tion.

Fran­cis’ doc­tors de­liv­ered their first in-per­son up­date on the pope’s con­di­tion, say­ing he will re­main at Rome’s Gemel­li hos­pi­tal at least through next week. The pope is re­ceiv­ing oc­ca­sion­al sup­ple­ments of oxy­gen when he needs it and is re­spond­ing to the strength­ened drug ther­a­py he is re­ceiv­ing, they said.

Gemel­li hos­pi­tal Dr. Ser­gio Al­fieri and Fran­cis’ per­son­al physi­cian, Dr. Lui­gi Car­bone, gave the de­tailed up­date on Fran­cis’ con­di­tion, say­ing he re­mains in good spir­its and hu­mour. To wit: Al­fieri said that when he en­tered Fran­cis’ suite to greet him on Fri­day morn­ing as “Holy Fa­ther,” the pope replied by re­fer­ring to Al­fieri as “Holy Son.”