The Spain international, who moved to Stamford Bridge from Real Madrid for a reported £58m fee in the summer, has netted six times in as many outings.
On Saturday, the 24-year-old, who was also linked to Manchester United, scored his first hat-trick for the club in a 4-0 victory over Stoke City at the bet365 Stadium.
"I am happy with my start in the Premier League but I can do better," the London Evening Standard quotes Morata as saying. "I had two [more] chances at the end of the game against Stoke. I also need to improve my physical condition to be as good as possible."