The Spanish left-back wants to stay at St James’ Park, despite interest from several Premiership clubs.
Enrique’s current deal is due to expire in June 2012.
Enrique: “I am very happy here – the future can be very good.
“We don’t look too much at the position in the table – we just need to get the wins we need to keep climbing.
“Once we are safe we will talk about other things.
“But I enjoy being part of this team.
“We often go out for dinner as a team and this shows that everybody is together as one.”