A win for Mladen Krstajić's side at the Spartak Stadium would guarantee a place in the last 16 of the competition, while a draw could also be enough if Switzerland lose to Costa Rica by more than one goal in Nizhny Novgorod.
Serbia sit in third position in Group E with three points going into the final round of group fixtures but must finish in the top two to progress.
Brazil lead the way with four points and are ahead of second-placed Switzerland on goal difference, while Costa Rica, who are yet to score in the tournament, sit bottom after two defeats and have already been eliminated.
Both matches get under way at 7pm (BST) and Serbia v Brazil is live on ITV1 in the UK, with Switzerland v Costa Rica on ITV4.