The World Cup winner mulled over his future last year before signing a contract extension with Atleti, having revealed his desire to stay in a documentary-style video.
Suggestions the France international could still end up at Barca persist, though, with Atletico 10 points adrift of Ernesto Valverde's side in the LaLiga title race.
Griezmann scored in France's 4-0 win over Iceland in their Euro 2020 qualifier on Monday but he could still not avoid the topic of his club future.
"I'm already used to it and a little bit fed up, every year it's the same, so I'm used to it," he said.
Atletico faces Barcelona in April but the chances of it winning the title appear slim.
Diego Simeone's side has been knocked out of the Copa del Rey in the last 16 and suffered elimination at the same stage in the Champions League earlier this month.
Atleti had beaten Juventus 2-0 in the first leg but then suffered a 3-0 loss in Turin, which dashed its hopes of reaching the final in its own stadium.
"It was a bit hard [to take]," Griezmann said. "But I've always been confident. I know the team needs me and now we have to do a good end of the season."