The Warriors have been drawn in Group A alongside Premiership side Hearts, Dundee United, who fell at the final hurdle of the Premiership promotion play-offs, East Fife and Cowdenbeath.
"It's a great draw for the club.
"There's a lot of high profile teams in there and we're looking forward to playing against some familiar teams too.
"I think we've been unlucky with draws in recent seasons but there's a few games there that - if they are at home - could see the fans come out and get behind the team so I'm delighted with the draw."