Anderson cracked a rib during a boxing session with team-mates at England's recent training camp in Germany [ Images ].
"He's already bowling at 75 per cent, so he should be fine for the first Test," the BBC quoted Flower, as saying.
"More than likely he'll be OK for two of the warm-up games," he added.
Flower also insisted that the controversial camp was 'a very healthy experience' for the team.
"It was an excellent camp, actually, and I think the players and management that were involved in it did things that they might never have done before in their lives and might never do again," Flower said.
England's first tour match against Western Australia comes up on November 5 before matches against South Australia five days later and Australia A on November 16.