Celtic news: Brendan Rodgers moves step closer to star January signing
Marvin Compper would not be eligible to play for Celtics against Zenit
However, the centre-half would not be eligible to play for the Hoops in their Europa League tie with Zenit.
Compper appeared for Leipzig in their final Champions League group game.
The 32-year-old, whose solitary cap for Germany came in 2008, still has 18 months of his contract to run at the Bundesliga club.
Celtic boss Brendan Rodgers has made no secret of the fact he wants an experienced stopper for the second half of the season.
Injuries to Dedryck Boyata, Jozo Simunovic and Erik Sviatchenko have left him short, forcing him to play several players out of position.