Wa `alaykum As-Salamu wa Rahmatullahi wa Barakatuh.
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
Dear questioner, we would like to thank you for your interesting question.
There is nothing wrong in reciting the Qur’an while performing Tawaf around the Ka`bah.
In this regard, we cite what Sheikh Sayyed Sabiq states in his well-known book, Fiqh As-Sunnah:
A person may recite the Qur'an while performing Tawaf, because the purpose of Tawaf is to remember Allah and the Qur’an is a reminder and a means of remembering Him. `A’ishah reported that the Prophet (peace and blessings be upon him) said: "Tawaf (circumambulation) around the House of Allah, walking between Safa and Marwah, and throwing the pebbles at the Jamarahs are instituted for the remembrance of Allah." (Abu Dawud and At-Tirmidhi)
Read also:
Conditions of Tawaf
Du`a’ While Performing Tawaf
Time for Tawaf Al-Ifadah
Supererogatory Acts During Tawaf
If you are still in need of more information, don't hesitate to contact us. Do keep in touch. May Allah guide us all to the straight path!
Allah Almighty knows best.