Neil McCann’s temporary assistant manager at Inverness, and former Rangers striker Dodds, believes significant change is required this summer or pressure will increase in the ‘Glasgow goldfish bowl’.
After watching Sunday’s 4-1 Old Firm win for his former club, Dodds says Celtic have to get their recruitment right – and finalise their new manager to take on Steven Gerrard in the dug-out next season.
And the 52-year-old believes it’s a “huge rebuild job” required in the east end of the city.
"For me, it's going to be huge. Rangers probably only need one or two more players just to enhance their squad but with Celtic, I'm telling you, you're talking at least 8 to 10 players for them to get it right – there are so many on Celtic's books that will probably be leaving the club,” he told Sky Sports.
"Celtic are under pressure to get the right players in, to get the recruitment spot on, but they have to put a structure in place as well.
"There's no manager. They need to get the manager sorted out. If they don't do it soon, that could catch up with them.
“If Rangers win the league again next season, the pressure builds. Glasgow is like a goldfish bowl. That will happen to Celtic if they do not get this rebuild job absolutely spot on."