This tradition has also been transmitted by Sa'id through a different chain of narrators to the same effect. Ibn Bashshar narrated the tradition like that of Yahya b. Sa'id. His version has:
He uttered the salutation in a way that we could hear it.

حَدَّثَنَا مُحَمَّدُ بْنُ بَشَّارٍ، حَدَّثَنَا ابْنُ أَبِي عَدِيٍّ، عَنْ سَعِيدٍ، بِهَذَا الْحَدِيثِ قَالَ ابْنُ بَشَّارٍ بِنَحْوِ حَدِيثِ يَحْيَى بْنِ سَعِيدٍ إِلاَّ أَنَّهُ قَالَ : وَيُسَلِّمُ تَسْلِيمَةً يُسْمِعُنَا .