The 21-year-old model suffers from psoriasis, an auto- immune disease in which scabs appears on the skin, reported Daily Star.
Delevingne spent thousands to make sure that the dress returned safely to her relatives in New York.
"Cara loved the present but is constantly terrified about aggravating her problematic skin. She doesn't want to hurt her relatives feelings, though, so she was prepared to have it specially flown and properly checked to ensure she could wear it without any stress," a source said.