The league-leading Hoops travel to Tannadice Park on Sunday and despite the Arabs sitting 10th on the table, Ledley knows it will be a massive test for the reigning champions.
"It's always a good atmosphere at Tannadice and we always get a good game there," Ledley said in the Celtic View.
"The fans are close to the pitch and it's always pretty difficult so I enjoy the occasion of going there.
"We lost there last season so it just shows it's no easy place to go. They haven't been doing too well this year so they will be desperate to get some points.
"It's one we're looking forward to and we'll have to make sure we keep up our recent form.
"We've gone from the Champions League, to the SPL, to the League Cup, and each one is really different."