And while Guardiola says that De Bruyne may have been "lucky", the early indications are less positive on Jesus.
"Hopefully it will not be tough, maybe one month or two months out", Guardiola told BT Sport when asked of Jesus' injury.
Gabriel Jesus also left the pitch injured and in tears.
"I don't know (what's going to happen) but he's a player of Arsenal and I think he is going to stay there", he said.
The injuries could speed up a move for Arsenal attacker Sanchez, who was close to joining City in the summer.More news: Can you real estate tax before the new law kicks in?
City's frustration seemed at its highest towards the end of the first half when Leroy Sane and De Bruyne were seen arguing after appearing to be on different wave lengths in the final third, but Guardiola believes such disagreements are normal. He made his way to the dressing room in tears, consoled by City's medical staff.
The extent of the injuries has yet to be determined but with the Premier League leaders having a clash with Watford in two days' time, manager Pep Guardiola will certainly be hoping for good news after both players undergo tests.
Puncheon was booked for his tackle on De Bruyne, in which he also injured himself, but could easily have been given a straight red card.
"Referees have to protect. Today we were not lucky", he said.
"The replay [of the Puncheon challenge] speaks for itself". We have to protect players'. Not since August 21 had Manchester City dropped any points.