The Uruguayan striker has netted 23 Premier League goals this season to lead the Reds to fourth spot on the table and is now targeting a return to Europe's premier club competition for the first time since the 2009/10 season.
"I dream about playing with Liverpool in the Champions League, yes," he told Sport magazine.
"My teammates have told me that it's something incredible, something truly unique, to play in that competition at Anfield. I'd love to do it. That said, there's a lot of the league left to play. We have to keep doing the things we're doing.
"We know all about those nights at Anfield. Everyone in the world knows about it, knows the club.
"All players appreciate the significance of the Champions League here, and that it's difficult to match Liverpool on that stage."
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