Sujud al-Tilawah is mustahabb for the reader and the listener, and it is not obligatory. There is nothing wrong with a Muslim listening to Quran when he wants to sleep. It is not prescribed for the one who is listening to the Quran to prostrate unless the reciter prostrates.

Sujud At-Tilawah is one prostration which the Muslim performs when he reads any of the verses of prostration, which are marked in the Mus-haf.