The Hoops will face the Slovenian champions after their shock Champions League resurrection, following Legia Warsaw's expulsion.
Although Celtic probably couldn't have hand picked a better draw, Maribor are no mugs...as both Rangers and Hibs can vouch for after they were knocked out by them in 2010 and 2011.
And boss Simundza is confident of another success.
He said: "We know all about Scottish football because we've had good experience there.
"Celtic are a club with a great tradition and a large number of fans.
"They deserve our respect and they will get it and our task is to prepare thoroughly and get a good result."