The Betfred Cup tie will take place on Saturday 22nd October at Hampden Park in Glasgow, and will kick-off at 12.15pm because the match will be shown live on BT Sport.
The statement was released on the official club website, and it reads: "Our stated preference was that the game took place at a more reasonable time on the Saturday at a venue that would ensure a capacity attendance.
"It is from an attendance perspective very regrettable that the game kicks off at 12.15pm which is a major disadvantage to our fantastic travelling support in particular for games such as these.
"Regarding the choice of venue we understand and accept that it is for all clubs to indicate the crowd they anticipate taking and Hampden Park was chosen on this basis.
"We accept that the majority of our supporters would have had to travel for at least a couple of hours to attend this fixture at any suitable venue but are disappointed as we feel that this outcome has a very negative impact on what should be a great day out and experience for all supporters."