The Reds defender helped his home nation beat Nigeria 2-0 in their opening game of the tournament in Russia and is in confident mood ahead of the clash.
Conversely, five-time Ballon d'Or winner Messi missed a penalty as Argentina were held to a 1-1 draw by Iceland in their first outing.
The pair go head-to-head at the Nizhny Novgorod Stadium and, while Lovren admits it's a childhood dream to play against players of Messi's stature, he insists the clash holds no fear.
Speaking to the press earlier this week, the LFC No.6 said: "We know how to play against the big teams and we are not scared of them.