The 29-year-old has made 300 appearances for the Blaugrana since his move from Borussia Monchengladbach in July 2014, including 22 outings in all competitions during the 2021-22 campaign.
At a time when the Blaugrana are going through a transitional period, newly-appointed head coach Xavi is likely to target new players during the January transfer window.
According to Football Insider, the La Liga giants are giving consideration to making an approach for Maatsen, who has been impressive on loan at Coventry City this term with 20 Championship games under his belt.
The 24-year-old has been strongly linked with a move away from Camp Nou, as the Catalan giants attempt to raise funds to improve their squad during the winter transfer window.
The 29-year-old defender, who is now widely expected to seek pastures new in 2022, is still due to become a free agent next summer.
City were heavily linked with a swoop for the versatile Spaniard over the summer transfer window, but the Premier League champions could now be forced to compete for his signature.
The 26-year-old, who has less than two years left to run on his contract but has struggled for regular game time under Pep Guardiola so far this season.
According to Spanish news outlet Sport, Barcelona are looking to strengthen their squad and Sterling is believed to be at the top of their wishlist.