Bianchi succumbed to injuries in July last year after suffering severe head trauma in a collision with a tractor at the Japanese Grand Prix in October 2014.
Grosjean will wear a helmet with a tribute to Bianchi for the race where his compatriot secured his best ever Formula One result.
Bianchi finished ninth at the 2014 edition of the race - securing Marussia's first and only points in their four-year stint in F1.
Grosjean released a picture of the special-edition helmet, designed by Adrien Paviot, via his official Twitter account.
Grosjean sits 10th in the drivers' standings after five races, while team-mate Esteban Gutierrez is yet to finish in the top 10.