However, the good news is that Pedro is set to return to training in ten days, but will have to wear a protective mask while he continues to recover from his injuries.
The Spain worldwide needed medical attention after colliding with Arsenal goalkeeper David Ospina in the first half and was replaced by midfielder Jeremie Boga.
Pedro was taken to a hospital for observation.
Michy Batshuayi may have been Chelsea's star in this week's International Champions Cup action, but he also wants recognition in the virtual world. It can happen, Ospina tried to take the ball'.
Batshuayi double secures Chelsea victory over Arsenal
However, Conte also made a point to add that his side has no "ill-feeling" toward Ospina as a result of the recent incident. Pedro will start Chelsea's season wearing a protective mask after suffering multiple fractures against Arsenal on Saturday.
Chelsea flew from the blocks and Pedro burst right into the Arsenal box inside the very first minute however was not able to pick out a blue shirt with his lessening.
"The situation was more serious because I hoped that it would only be a concussion", said Conte, via The National.
Pedro will return home from Chelsea's pre-season tour after he suffered concussion during Saturday's friendly victory over Arsenal.
However, the diminutive forward has reassured fans that everything is okay with posts on his social media accounts.
Batshuayi shined as Chelsea prepare to be joined by Spanish striker Alvaro Morata, who could make his debut against Bayern Munich in Singapore on Tuesday following his reported ¬ 80-million ($92.2 million) transfer from Real Madrid.