Towards the end of July, an approach was made by West Bromwich Albion for the 27-year-old, who made an offer of around €6 million to Sevilla. However, that bid was firmly rejected by his club.
Reacting to that approach from the Premier League club at the time, Iborra explained: "I've read about it, but all I can say is that I'm happy at Sevilla and I hope I can stay here for a long time."
That wish has now been granted, after Iborra penned a new and improved deal with Sevilla on Thursday, which ties him to the club until 30th June 2020, and beyond his 32nd birthday.
After the formality of signing his new contract, speaking with the official Sevilla FC website, Iborra enthused about how delighted he and his family are, having committed his future to the club.
"We've been really happy since the day we arrived. When we left Valencia it was the first time I'd left my home region. Both the club and the fans welcomed us with arms wide open, with special affection. I hope to feel that for a long time."
Having now spent two years at Sevilla already, Iborra recounted: "I feel like I've lived two very intense years. I knew I was coming to a really big club in Europe and the world, but it's only once you're here, you realise how big a club this is."
Iborra then promised Sevilla fans: "All I can do now is keep working hard, repay the confidence the club has shown in me, and try to achieve more or less what we have over the last two years, to keep making history."
During those two years, Iborra has enjoyed back to back Europa League triumphs and this season, he'll get to compete amongst the very best teams in Europa, as Sevilla prepare to compete in the Champions League.
Despite the summer approaches from other clubs, such as West Brom, Iborra underlined his desire to stay with Sevilla. He concluded: "I want to keep dreaming, keep achieving important things with this club. Sevilla is a club growing rapidly and I want to share in all the success of this club."
Sevilla are participating in the opening game of the 2015-16 season in La Liga, when they travel to La Rosaleda for a local Andaluz derby against Malaga on Friday night.