Both sides are keen to ensure they will not be locked in a relegation battle next season, and have already been busy in the transfer market attempting to ensure they stand a good chance of avoiding the survival scrap.
The signature of Bakambu could be a coup for whichever club is able to land him, with the former French youth international currently playing at Turkish side Bursaspor.
He has an impressive 21 goals in 39 games for the Super Lig side, who he joined from Sochaux just a year ago.
Bakambu plays most frequently on the left wing, but at times last season featured on the right and even up front.
Recently called in the DR Congo national squad, Bakambu, 24, has a contract at Bursaspor until 2018.
The Sun report Bakambu could cost just £4 million, although their is competing interest from Italian side Lazio. He cost the Turkish side just £1.25 million a year ago.
He was part of France's winning European Championship under-19 side in 2010, finishing as joint top scorer for his country alongside Alexandre Lacazette. The team also included Antoine Griezmann and Gael Kakuta.