Umm Ayyoob quotes some of the narrations which Shaykh al-Albani brings about the permissibility for the woman to pray wearing her house dress (regular home clothing) and a Khimar (head covering) and then he brings the narration that she should wear an outer garment type of covering (e.g. like a Abayyah).
Then the Shaykh says:
‘Then all of this is understood to be, that it is more complete and better for her to wear an outer garment type of covering and Allaah knows best.’
[Mentioned in ‘Tamaam al-Mina Fee Taleeq ala Fiqh-us-Sunnah’ p.161-162]
Umm Ayoob says:‘So in summary: Shaykh Albani -Rahimullaah- holds the opinion that it is recommended for the woman to wear the Jilbaab (Abayyah) on top of her house dress and a head covering for the prayer. His sources for this are the following:
1- His understanding of the authentic Athaar (narrations) which show that it is sufficient for the woman to wear a house dress and head covering for the prayer.
2- The Shaykh affirms the Athaar which show that the dress of the woman in prayer should be a house dress and head covering along with a Jilbaab or wrapping sheet worn for prayer, or a wrapping garment.
3- Combining between these Athaar which are all authentic, Shaykh Albani concludes that it is recommended for the woman in the prayer to wear a Jilbaab and that it is better and more complete.