'The Blues', fifth last term, claimed an eighth win from 11 games with Sunday's 3-1 victory over Crystal Palace.
Pedro found the back of the net, along with Alvaro Morata, in the club's victory on Saturday at Stamford Bridge, however the Spaniard is refusing to get carried away.
"The most important thing is step by step, game by game," Pedro told 'Chelsea TV'.
"The team knows we're now in a very good position, but it's too early to know anything.
"There are a lot of games until the end. It's very important to continue in this moment."
Eden Hazard was back from injury and on form for Chelsea, scoring a minute after coming on.
The 31-year-old added: "He's the most important player here. He's a star for us. Eden is playing very good. It's very good news for us that he's in very good form."