Christensen departed Stamford Bridge on a free transfer while the Blues were under government sanctions in mid-2022.
He joined Barca but seems to be set for a reduced role under new head coach Hansi Flick.
The 28-year-old spent large parts of last season in a defensive midfield position.
The emergence of the 17-year-old Pau Cubarsi has pushed him further down the pecking order for this campaign.
According to Spanish publication Mundo Deportivo, Christensen is open to the possibility of leaving the Catalan outfit.
It is claimed that the possibility of a return to the Premier League is not something that the Denmark international would be against.
Newcastle are prioritising a move for Crystal Palace centre-back Guehi but the Eagles are being firm that they will not relinquish the England international for anything under £65million.
The Magpies are understood to have had at least four bids rejected.
Christensen is reportedly viewed as a back-up option should Newcastle fail to sign Guehi before the August 30 transfer deadline.
Two years remain on Christensen’s Barca contract and this could be the final opportunity for the Spanish giants to receive a substantial fee for the player.
He made 42 appearances across all competitions last season but was a substitute during Barca’s 2-1 victory over Valencia on the opening day of the season.
Flick has reportedly made clear that Christensen will not play a prominent role this term.
