Stones suffered a muscle problem in training and has missed our last two matches, and Jesus’ hamstring injury has seen him sidelined for a week.
Both are recovering well but Saturday’s game at home to Brighton looks set to come too soon, however, the boss is confident the pair will be back in contention for a starting place when we visit Norwich September 14.
“[They are] much better,” he said. “I don’t know if they are ready for tomorrow, but they are much better.
“If not tomorrow, they will be back for Norwich.”
Meanwhile, Guardiola sent a heartfelt message to his friend and Barcelona legend Luis Enrique, whose nine-year-old daughter, Xana, lost her battle with cancer on Thursday.
He said: "On behalf of City family my family myself deepest deepest condolences to Luis Enriique to his wife Elana and sister and brother for their loss.
"Their little daughter. We knew it was not good but you dream everything goes well.
"I don’t have words, I have nothing to say, you want to see reason for existence.
"Hopefully he can feel from myself and Manchester we are here.
"Hopefully I can see him soon and tell him that I love him."