Ronny Deila and John Collins have met with officials from the Premier League side to discuss a potential move.
Ronny Deila and his assistant John Collins were alerted to the possibility of taking the youngster to Parkhead for the rest of the campaign when they met with City officials during a recent trip to watch Manuel Pellegrini's men play Everton in the Capital One Cup (via Record).
Despite Celina making his first-team debut for the Citizens only last week - when he came on for the final five minutes of the club's FA Cup third round victory over Norwich - the Record reports that City do plan to let him leave the Etihad temporarily, and it appears that the Scottish Premiership champions are the ones ready to offer him his chance.
A move to Celtic Park would see Celina link up with Deila for the second time in his brief career. The 19-year-old spent five years with Norwegian side Stromsgodset, during which time the current Bhoys boss was part of the backroom staff at the club, before becoming their manager in 2008.
Should Celina complete a move to the league leaders, he will become the latest name to leave City for Celtic in recent years. Jason Denayer spent last season on loan with the Hoops, while Dedryck Boyata completed a permanent move to the club in the summer.