In the last week Martin O'Neill has resigned at Aston Villa and Steve Coppell has quit Bristol City, for differing reasons, but David Moyes is one of the longest-serving managers at the same club.
The Scot, in his eighth year with the Toffees and who was linked with the Villa vacancy, will arrive at Ewood Park tomorrow for their Premier League opener with a ringing endorsement from Allardyce.
"It is a rarity now and Everton are extremely fortunate to have kept David where he is because of the work he has done and how hard he has worked to turn the club around from what was a difficult position when he took over," said Allardyce.
"David and the club fit very nicely and they are reaping the benefits of stability and the backing of a manager and good working relationships.
"It is something that lots more clubs in the Premier League, and certainly the Football League, should take notice of because without that stability you are not going to bring any sort of success to a club.
"It tells you about the enormous pressure of being a manager. We make the decisions we make because people don't see it in the same light we see it.
"In Steve's case it is the second time it has occurred where he is not comfortable in the surroundings - it happened at Manchester City a few years ago.
"Rather than it lingering on and damaging the club or him they have decided to part company.
"Martin has decided it is not longer viable for him to carry on at Aston Villa."
Allardyce's side lost twice to Everton last season, including a thrilling 3-2 defeat at Ewood Park, but he believes his squad is stronger this season.
One of the reasons is the acquisition of Manchester United striker Mame Biram Diouf on loan.
"Anything we get against Everton this year will be a bonus because we got nothing from them last season," added Allardyce, who confirmed Ryan Nelsen will continue as club captain while fellow centre-back Christopher Samba will skipper Rovers on the pitch.
"It is all-out to win but we can't abandon caution and if we can't win we have to make sure we get a point on the board."
Senegal international Diouf has played only 45 minutes of a friendly against Hearts last weekend but he scored and was on target for his country in midweek.
"Diouf is inexperienced in the Premier League. Manchester United plucked him from Norway and Sir Alex wants him to play first-team football - which is limited for him at United," said Allardyce.
"His genuine pace is something we haven't got and having scored two goals in two games this week we hope he continues that sort of form.
"He is a different sort of player from the ones we have got and that makes us stronger on the forward line."
The 22-year-old is confident he can quickly adapt to his new surroundings and become a proven Premier League goalscorer.
"It doesn't matter where you play, the only thing that matters is that you have time to play and the manager (Sir Alex Ferguson) thinks this is the best option," said Diouf.
"I want to play a lot of games, score goals and help the team.
"As a striker if you don't score goals there is no need to play football any more so I am confident."