It is permissible to base one's intention for Ihram on the intention of another
وَحَدَّثَنَاهُ عُبَيْدُ اللَّهِ بْنُ مُعَاذٍ، حَدَّثَنَا أَبِي، حَدَّثَنَا شُعْبَةُ، فِي هَذَا الإِسْنَادِ نَحْوَهُ .
This hadith has been narrated by Shu'ba with the same chain of transmitters.