The opening tie of the second qualifying round was initially set to be played at Celtic Park before the Northern Ireland champions requested a swap.
The first leg will now take place at Solitude on July 17, with the return in Glasgow on July 23, both with a 7.45 kick-off.
Boss Neil Lennon told the club's website: "It will be the first time I will have taken Celtic to a competitive game back home so that is something to look forward to, but we will be totally motivated, obviously, to play as strongly as we can and try and win the tie.
"It's a great draw and it will create a lot of interest back in Belfast but I am very wary of the tie."
- Sports & Recreation
- Neil Lennon
- Celtic Park