The Hoops are into Europe's premier club competition after beating Shakhter Karagandy 3-2 on aggregate courtesy of their 3-0 home win in the second leg on Wednesday night.
It has been a testing time for Lennon and his squad recently but the Bhoys boss was thrilled to make it through for a second straight season as he gets ready for a possible date with Real.
When quizzed about who he would like to be drawn against, Lennon selected Madrid, before adding: "I think that would be pretty special.
"Or maybe a Battle of Britain would be great as well but I don't care - it's just a magnificent feeling.
"I'm delighted for the players and supporters."
He added further: "What we have come through in the last six, seven weeks has been really difficult.
"It is a huge feeling of relief and a huge feeling of pride."