The Italian moved to Arsenal in January, arriving from Chelsea for a fee in the region of £12million.
Jorginho’s current contract is due to expire at the end of this season, although there is the option to extend it.
The 31-year-old has not held any talks with Arsenal over that yet, but he has insisted that he is settled at the club.
“No, I haven’t had any conversations to be honest,” he said. “And the only thing I can say is that I feel really good here and I am really happy at Arsenal.
“I didn’t think [about it] to be honest with you! I am thinking about tomorrow.”
Jorginho has explained how he feels there is a sense of togetherness at the club and he has felt welcome since he joined.
The midfielder, in particular, felt that earlier this season when the squad rallied round him after an error in the north London derby gifted Tottenham a goal. Jorginho started the next game and was made captain.
“That means a lot,” said Jorginho. “I think the whole club, everyone at the training ground, the fans, I can feel we are very close.
“There is this togetherness and it just helps everyone so much, every single player. After what happened [against Tottenham], I felt something really strong. There was something really, really good and something special about this club.”