Evidence from the Qur’aan
In the Quran, Allah (a'zza wa jall) says: {O Prophet! Say to your wives and your daughters and the women of the faithful to draw their Jalaabeeb close around them; that is better that they will be recognized and not annoyed. And God is ever Forgiving, Gentle.} (Surah al-Ahzab, ayah 59 (33:59)).
In this verse there is a clear command for Muslim women to wear a garment which Allah (a'zza wa jall) has referred to as ‘jilbaab’. The word "jalaabeeb" is the plural of "jilbaab". The Jilbaab is an outer-garment, an extra layer, something worn over the normal clothing.