The Arsenal striker, who has struggled to score at the start of his first Premier League season, is ruled out with a muscular injury but could return for Tuesday's Belarus clash.
The French forward, who joined Arsenal this summer from Ligue 1 champion Montpellier, has been struggling with a muscle injury since joining up with the international squad.
However, Deschamps is hopeful that the 27-year-old will be fit for Les Bleus' subsequent match against Belarus on Tuesday.
“He will work apart [from the squad], which will allow him to play the next match [against Belarus]," the former Marseille coach told reporters on Thursday afternoon. “Considering it’s a muscle problem, it is better to give him more time. I would have preferred Olivier at full fitness, but [football] is like that.”
Real Madrid attacker Karim Benzema is expected to start as the lone striker against Helsinki without Giroud as competition for a starting berth in France's opening World Cup qualifier.
Follow GOAL.COM USA on