The Spaniard's deal with the Blues is set to expire at the end of the season.
Chelsea forward Pedro will be heading to Serie A club Roma at the end of the 2019-20 campaign.
The ex-Barcelona winger put pen to paper on a two-year deal worth £50,000 per week with Roma, who will also have the option of extending the contract a year further.
Pedro's initial deal with Chelsea was due to expire at the end of the month, but he signed a short-term extension this week to help Frank Lampard's team secure a top-four spot.
The Spanish star has spent five seasons at Stamford Bridge after he signed from childhood club Barca and has scored 43 goals in 201 appearances since his arrival in 2015.