And the form of the ex-Chelsea legend is such that any hopes Ospina has of getting back in Arsene Wenger's side look decidedly bleak.
Earlier this week the Brazil World Cup star was linked with moves to French side Marseille and Turkish giants Besiktas, as reported by the Express.
But Arsenal will not be selling the 27-year-old anytime soon.
That's according to Besiktas board member Erdal Torunogullari who has been speaking to Turkish Football after the club's president Fikret Orman confirmed a keen interest in the Arsenal number two.
“David Ospina is Arsenal’s second choice keeper and they are not letting him go in January there is no chance of this," Torunogullari told Turkish Football.
Ospina has made just three appearances for the Gunners this season following the £10 million capture of Cech from struggling London rivals Chelsea in the summer.
He didn't help his own cause when he dropped a clanger against Olympiacos in Arsenal's 3-2 Champions League defeat at the end of September after Wenger had put his neck on the line by playing the South American.
Despite not getting much playing time Wenger is right to retain the back-up 'keeper given that error prone Wojciech Szczesny was loaned out to Roma this season.
As its stands Arsenal actually have one of the best selections of goalkeepers in the Premier League.
It is just Ospina's bad luck, and Arsenal's clever transfer business, that has seen Cech come in and prove to be one of the signings of the season.