The 42-year-old Aussie said he had never expected to join "any other club in Europe" when he finally left Tigers.
"It is a huge compliment and it was one of those opportunities that I couldn't really turn my back on," he said.
"I never envisaged leaving Leicester to join any other club in Europe because I didn't think there would be an opportunity to coach at a club as good as Leicester.
"I thought I would always go home (to Australia). But when this opportunity came about, it was too good not to take.
"Leinster were not looking for a clone of Joe, but someone with a similar philosophy and the ability to grow that. It's a good, positive environment in terms of what I have seen after meeting their senior players and board in Dublin."
"The demands will be different but it will not be vastly different to the way I have approached the job at Leicester. The Leicester experience has been invaluable and I have been conscious I needed to take control of a side myself, sooner rather than later.
"Leinster have been brave in the past with their appointments of Michael Chieka and Joe Schmidt and I am further down the (coaching) line in terms of where those boys have been previously.
"I have been coaching a long time and have done nearly 200 games at Leicester in an environment where you have got to win every week.
"That experience will be invaluable at Leinster in relation to tackling Europe and taking the place forward."