This tradition has also been narrated by Umm 'Atiyyah in a similar manner through a different chain. She added:
The menstruating women should keep themselves away from the place of prayer of the Muslims. She did not mention the garment. She narrated this tradition from Hafsah mentioning a woman who asked about another woman saying: O Messenger of Allah ....She then reported the tradition like that narrated by Musa mentioning the garment.

حَدَّثَنَا مُحَمَّدُ بْنُ عُبَيْدٍ، حَدَّثَنَا حَمَّادٌ، حَدَّثَنَا أَيُّوبُ، عَنْ مُحَمَّدٍ، عَنْ أُمِّ عَطِيَّةَ، بِهَذَا الْخَبَرِ قَالَ " وَيَعْتَزِلُ الْحُيَّضُ مُصَلَّى الْمُسْلِمِينَ " . وَلَمْ يَذْكُرِ الثَّوْبَ . قَالَ وَحَدَّثَ عَنْ حَفْصَةَ عَنِ امْرَأَةٍ تُحَدِّثُهُ عَنِ امْرَأَةٍ أُخْرَى قَالَتْ قِيلَ يَا رَسُولَ اللَّهِ فَذَكَرَ مَعْنَى حَدِيثِ مُوسَى فِي الثَّوْبِ .