The 26-year-old, who suffered the blow during Blackburn's FA Cup goalless draw with Millwall on Sunday, is due to get married this summer.
"Stitches and glue, that's what I'm made up of at the moment," the Daily Star quotes Dann as saying.
"I'll take a few more. I don't think the fiancee will be happy about that but it comes part and parcel of being a defender. You get bumps and bruises and cuts and you've just got to get on with it."
The winner of tonight's quarter-final replay will meet Wigan Athletic in the semi-finals.