The right-back, who has six senior caps for Austria, joined the Premiership champions on a season-long loan deal from Stoke City earlier today, having fallen out-of-favour at the English Championship strugglers.
Celtic boss Neil Lennon has been known to be in the market for defensive reinforcements this summer, following the departures of Mikael Lustig, Filip Benkovic, Dedryck Boyata and Kieran Tierney.
Christopher Jullien has been added, and so too has Boli Bolingoli, but Bauer’s arrival could spell the end to Celtic’s search for a specialist right-back, and the 27-year-old seems delighted with his move.
During his unveiling press conference this afternoon, via the Sun, Bauer said: “The fans are getting a very hard worker. I’m maybe not the most talented guy but I make it up with work.
“I like to play attacking football. I bring some pace, I bring some dynamics.”
“My mum always said she wanted to be in Anfield and Celtic Park once in her life.
“I made Anfield with Stoke and now it’s time for Celtic Park and I’m really buzzing for it.
“I’m really, really looking forward to it.
“I know about the stadium, the historical Celtic Park, and I hope that I can win trophies here and have a very successful season.
“It’s a massive club with a big history and when you see the stadium from the outside and the players there who have already worn the jersey – they are big names.”
It remains to be seen whether or not Bauer will be included in the Celtic squad for Sunday’s mouthwatering clash with bitter rivals Rangers, but what do you think of his arrival?
Let us know in the comments section below…