Reina is currently on a season-long loan at Italian side Napoli, but has recently been linked with a permanent move to Barcelona.
Barcelona are looking to bring in a new goalkeeper as Victor Valdes has announced that he will be leaving the club at the end of this season.
"I would love to return to Barcelona," Reina said. "To play at Barca is a privilege. But I imagine that my name is on a list with others.
"Barca is a top club and Victor Valdes' departure will have alerted other candidates so a return will be very difficult. Right now I'm not thinking about it.
"I was fortunate to play there once and I consider myself privileged to have done that. The important thing is that I continue to do well at Napoli."
Reina has three years left on his current contract with Liverpool.