The young midfielder would be more than happy to remain with the Serie A side until he hangs up his boots, and has fond memories of his debut
The 21-year-old is seen as one of the Nerazzurri's most promising youngsters, and is determined to be a success with the Giuseppe Meazza side.
"If it were up to me, I'd stay here for the rest of my career," Obi was quoted as saying on the official Inter website.
"Winning at any level is fantastic, and you can only get there through hard work and effort. In football you also need to be mentally tough to succeed. That's what I want to achieve."
The midfielder then looked back at his official debut for the club, and voiced his admiration for team-mate Dejan Stankovic.
"My debut was an unforgettable moment, I came on for 'Deki', it was unbelievable. I replaced a guy who'd always been a hero of mine, someone on whom I tried to base my game! It was a unique experience.
"Then when you go out onto the pitch you want to give everything to show what you can do, but you also need to make sure you don't overdo it.
"My debut was really special. I think it's my best moment so far, along with winning the Coppa Italia."
Obi has made only one official appearance for Inter this term, scoring once.