We are scheduled to travel to the Dinamo Arena, Tbilisi for the first leg on Thursday, August 22 before the return leg a week later at the Lane on Thursday, August 29.
Dinamo Tbilisi completed the league and cup double in Georgia last season to book a place in the Champions League qualifying rounds.
They beat EB/Streymur of the Faroe Islands in the second qualifying round of the Champions League but lost 3-1 on aggregate to Steaua Bucharest in the third qualifying round.
It's not the first time we've faced Dinamo Tbilisi in the competition.
We beat them 6-2 on aggregate in the third round of the then-UEFA Cup in 1973-74 when Tbilisi were part of the USSR.
Ralph Coates scored as we drew 1-1 in Tbilisi before a comfortable 5-1 home win. Martin Chivers and Martin Peters grabbed two goals each at the Lane with the fifth from Chris McGrath.
We reached the final that season but lost 4-2 on aggregate to Feyenoord.