Chelsea are concerned that Pedro may not agree to a short-term deal until the end of the season, according to reports.
The 32-year-old wideman was previously thought to have agreed to remain with the club for their nine remaining Premier League games - and is set to depart at the end of the month when his contract expires.
However, as reported in The Sun, Pedro is hesitating over penning fresh terms out of 'solidarity' with team-mate Willian.
The former Shakhtar Donetsk star is also braced to become a free agent over the coming weeks.