Reference: I’laam al-Mu’aasireen bi-Fataawa Ibn ‘Uthaymeen – Page 81
Question: Is there any evidence for changing places in order to offer the Sunnah prayer after the obligatory prayer?
Response: Yes, there is the hadeeth of Mu’aawiyah (radhi-yAllaahu ‘anhumaa) who said:
«The Prophet (sal-Allaahu ‘alayhi wa sallam) commanded us not to offer one prayer after another, until we moved [from our place] or spoke [to someone]», [transmitted by Muslim No.883 and Abu Daawood No.1129]
So the people of knowledge have taken from this [hadeeth] that it is befitting to differentiate between the obligatory [part of the prayer] and the Sunnah [part], either by speech or changing places.