With Ospina this week linked to Marseille by French website MaxiFoot, he could instead be the one departing, and Szczesny appears keen not to rock the boat.
He sent a message on Facebook to new signing Petr Cech within hours of his arrival, indicating his desire to stay an Arsenal player, even if it means sitting on the bench.
He wrote: "Petr Cech, welcome to Arsenal FC! Delighted to have a chance to learn from one of the best GK's in the world!"
Szczesny will of course have a chance to compete and put Cech under pressure, but realistically Arsenal did not sign the now former Chelsea man to sit on the bench.
He also discovered last season that being a number two at Arsenal can have it's benefits, playing throughout the club's FA Cup run, including keeping a clean sheet in the final at Wembley against Aston Villa to lift the trophy.
If Szczesny can learn from Cech as he intends, ultimately he will outlast him in terms of age and take back his spot when he retires, but he has to stay patient until then and see off any competitors for the number two spot.