With the visit of champions Manchester United fast approaching on Saturday, Gallas is unlikely to be risked in Wednesday night's Carling Cup fourth-round clash at Sheffield United.
A positive result against the Coca-Cola Championship strugglers would extend Arsenal's unbeaten run to 17 this season, and 24 in succession overall since they lost to West Ham at Emirates on April 7.
It is the club's best run of form since the 'Invincibles', who won the league title in 2003/2004 and eventually fell one short of 50 games without defeat.
Gallas, however, maintains the team are not focused on chasing records, just ensuring their hard work is rewarded with a trophy.
"We just want to win every match, but for us it is more important to win something this year," said the Arsenal skipper.
"If we can beat that record, then why not? But it is not what we are thinking about.
"Only winning trophies can give you the satisfaction."