The deal is done: Adam Montgomery is now a Celtic player after completing a switch from Livingston. The defender signs after the two clubs reached an agreement and the player completed a medical. The player is set to meet his new teammates and embark on a new chapter in his career. With no other clubs strongly linked, Celtic were able to move quickly and secure the deal without distraction. Celtic's back line has been a real strength this season, conceding just 0.95 goals per game (21 in 22). Adam Montgomery would be expected to slot into that unit and hold his own in an already solid setup. Celtic have recently been linked with Tomas Cvancara, Aurele Amenda and Joel Piroe while Livingston have had no rumoured targets. Can't get enough Celtic transfer rumours? Follow @PlayerSwitchCom on Twitter for the latest transfer news as it happens.