The 27-year-old had remained in England ahead of Saturday's opening World Cup qualifier with Serbia at Hampden Park, but will join the squad after taking the time to meet his new daughter.
"On behalf of the squad we are delighted with the news and send our congratulations to Christophe and his family," Levein told reporters.
|THIS GAME SCOT A DRAW ALL OVER IT|
|11/2||Scotland are 11/2 with William Hill to draw 1-1 with Serbia|
"Christophe is a very important player for us and it will be good to have him available for Saturday."
Berra is almost certain to be named in the starting eleven following an injury crisis in defence which has deepened following the withdrawal of Danny Fox and Russell Martin on Monday
Celtic's Charlie Mulgrew is also receving treatment on an achilles injury and Levein has called up Huddersfield's Paul Dixon and MK Dons defender Gary MacKenzie as he stretches his resources to the limit.