The former France winger feels the pair's contrasting styles could complement one another as Didier Deschamps looks to experiment
Coach Didier Deschamps looks set to tinker with his squad for Friday's match against Georgia, having hinted that he could start with both strikers in a 4-4-2 formation.
And Govou, who represented les Bleus at four major tournaments, believes the system could work once the pair get used to one another.
"The pairing of Giroud and Benzema? It is the opinion of the coach. We need to see if they can play together ahead of the next few years," he told RMC.
"Giroud is less mobile than Karim, who has the capacity to turn and get in behind the defence.
"I've played 4-4-2. When there are two strikers the wingers must be real players and not just attackers. They cannot be lazy or they could get caught out of position.
Benzema has been criticised of late for refusing to sing the national anthem ahead of France matches, but Govou does not believe it is something that affects his performances on the field.
"This is a conversation that has no place. He has his reasons not to sing," he continued.
"Some people are shocked but because he does not sing La Marseillaise he will not give 100 percent on the field and he does not desire to represent his country."