The combative midfielder will miss the first games of the new Premiership campaign for a disciplinary offence at former club Leicester.
Savage picked up his 15th booking of last season in his final game for Leicester against Tottenham Hotspur at Filbert Street meaning he faces an automatic suspension.
The Welsh international will sit out the games at champions Arsenal next Sunday and the home clash with Blackburn a week later.
"I'll be missing at the start of the season because I picked up that 15th yellow card in a game I didn't need to play in," said Savage.
"Leicester were already relegated to Division One and I was on 14 bookings before the Spurs game and I could have said that I didn't want to risk things with this season in mind.
"I decided to play and give it everything and now I will miss the first two games. But that's me. I love football and I'll carry on playing it the way I always have done - giving 150 percent."
Savage could face further disciplinary trouble with his Football Association misconduct hearing over using referee Graham Poll's toilet without permission when feeling ill before Leicester's home match with Aston Villa in April set for Friday.
Meanwhile, fellow Blues new signing Clinton Morrison is expected to fit for the clash at Highbury.
The former Crystal Palace striker picked up a dead leg in last week's clash with Stoke and missed the weekend draw with Alaves, but is set to be fit to start against Arsenal.
