Imran bin Husayn reported,

The Messenger of Allah ﷺ led us in the noon prayer, or perhaps the afternoon prayer, and afterward asked, "Which of you recited Sabbih isma rabbika al-Ala behind me?"A man said, "I did, and I intended nothing but good by it."He said, "I knew that one of you was contending with me over it."

Azami 1980

Sahih

عن عمران بن حصين قال

صلى بنا رسول الله ﷺ صلاة الظهر- أو العصر فقال: أيكم قرأ خلفي بسبح اسم ربك الأعلى فقال رجل: أنا، ولم أرد بها إلا الخير، قال: قد علمت أن بعضكم خالجنيها.

الأعظمي 1980صحيح
Contents
Reference
Commentary
Ayat
Collection
Jami al-Kamil
Book
Prayer
Chapter
Description of prayer, the takbir, standing, and recitation
Section
Follower should not recite aloud behind the imam
Numbering
Jami al-Kamil 1980 (2nd edition)
Azami 1980