But the 29-year-old Brazilian frontman has revealed he could be interested in a move to the Premier League or Serie A in the future.
Fabiano has been linked with both English and Italian sides in recent months.
“I’m honesty not thinking about the rumours that say I want to leave,” Fabiano told Itasportpress.
“I’m doing well here. I’m happy with Sevilla’s season because my performances in the league and the Champions League have been positive so far.
“For now, my attentions are focused on Sevilla. In the future, if I can move to Italy or England, I will evaluate it in due course.”