Raheem Sterling has agreed personal terms for a move to Chelsea from Manchester City.

The two Premier League clubs are now working out the final details of an expected Stg 45million ($A79 million) transfer, the PA news agency understands.

Should it go through, the move would end England international Sterling's seven-year stay at the Etihad Stadium.

The 27-year-old has scored 131 goals for City in 339 appearances since moving from Liverpool for Stg 49million ($A86 million) in 2015.

During his time in Manchester, he has won nine major trophies, including four Premier League titles.

Yet with his contract due to expire at the end of next season, speculation over his future has been rife for some time.