Domenech has stipulated that only players fit by May 18, when France will start a training camp in the French Alps, will go to the finals in South Africa.
Gallas has been ruled out for the rest of the club season after he pulled a calf muscle in last week's Champions League quarter-final against Barcelona, his first match after missing eight games with his club and France's 2-0 defeat by Spain in March.
Domenech has been struggling to find a consistent back-four unit since his side's Euro 2008 flop and the injury to Gallas, the most reliable and stable component in France's defence for the last two years, will only add to his worries.
"It is clear that a player who will not be in a position to play by May 18 will not come to the World Cup," Domenech told French sports daily L'Equipe.
