Suarez scored all of Uruguay's goals on Friday night as they stayed on top of their World Cup qualifying group with a 4-0 win over Chile.
A Facebook group has been set up called 'Luis Suarez the new Lionel Messi' and the 24-year-old Anfield striker has been left red-faced.
Four-star display: Luis Suarez scored all Uruguay's goals as they beat Chile 4-0
'Comparisons with Messi embarrass me,' Suarez said. 'It also makes me smile, but I feel the comparisons are just the reaction from the Uruguay fans as everything seems to be going well at the moment.
'I am happy, but we have to look at the work of the whole team as it is not just about one player.'
Genius: Barcelona's Argentina hero Lionel Messi has set the standard
Rejuvenated Bellamy a real threat to Scots after Liverpool returnFour-star Suarez too hot for Chile as Uruguay cruise through World Cup qualifierDalglish eyes move for 15-year-old FC Basle striker Hunziker All the latest Liverpool news, features and opinion