[Machine] The Messenger of Allah ﷺ only prohibited wearing pure silk. As for a garment that has silk in its lining or in its thread, there is no harm in wearing it. This was narrated by Abu 'Asim from Ibn Juraij, and it was also said regarding this narration: As for a garment whose lining is silk but its exterior is not silk, it is not considered silk and there is no prohibition in it.  

إِنَّمَا نَهَى رَسُولُ اللهِ ﷺ عَنِ الْحَرِيرِ الْمُصْمَتِ فَأَمَّا أَنْ يَكُونَ سُدَاهُ أَوْ لَحْمَتُهُ حَرِيرًا فَلَا بَأْسَ يَلْبَسُهُ كَذَا قَالَهُ أَبُو عَاصِمٍ عَنِ ابْنِ جُرَيْجٍ وَقِيلَ عَنْهُ فِي هَذَا الْخَبَرِ فَأَمَّا الثَّوْبُ الَّذِي سُدَاهُ حَرِيرٌ وَلَحْمَتُهُ لَيْسَ حَرِيرًا فَلَيْسَ بِمُصْمَتٍ وَلَا نَرَى بِهِ بَأْسًا