The outgoing Celtic chief also thanked the emergency services for how they dealt with the incident.
The Rangers captain prevailed from an all-Ibrox shortlist to win the top prize.
The 42-year-old was originally coming in from Scottish Rugby in the summer.
Lawwell will be succeeded by Scottish Rugby chief operating officer Dominic McKay.
Neil Lennon's men are 13 points adrift of rivals Rangers but have two games in hand in the title race.
Dalglish doesn't anticipate Celtic changing their manager.
The Glasgow club posted a narrow pre-tax profit but saw revenue drop sharply.
The Rangers winger says the derby will still retain its "intensity".
Cumbria Police have warned that the rule of six will be strictly enforced on the day of the game.
The Celtic striker is expected to return to Glasgow one day before the Old Firm derby.
Sheelagh McLaren brings you the latest sports news.
Raman Bhardwaj brings you the latest sports news.
Raman Bhardwaj brings you the latest sports stories
Griffiths won't be with the Celtic squad to take on Lyon, Nice and PSG.