The 69-year-old was manager of Iceland when they shocked Roy Hodgson's side at Euro 2016 to improve his personal streak against the Three Lions to seven games without defeat.
However, Lagerback - who has also managed his native Sweden - believes that Northern Ireland will be a completely different proposition when Norway face Michael O'Neill's side in World Cup qualifying.
"As far as England playing at the Euros and maybe comparing them with the Northern Ireland team, I think it's a big difference in the style of playing," Lagerback, whose Norway side lost 2-0 in Belfast earlier this year, told Sky Sports News.
"I don't think we have any advantage with that [record]. Generally, why I have been lucky to have good results against British teams, and especially England, is because the players know the players very well.
"I think that is a little bit of an advantage, not least mentally. I think that's more it. But if you compare England and Northern Ireland I think they will be different matches."
Norway are out of contention to qualify for Russia as they sit nine points behind second-placed Northern Ireland with just one game left in Group C.