To cover the head, using a turban or wearing a skull cap (Topi) is Sunnah. The Holy Prophet (Sallallahu alaihi wa sallam) would tie a turban on the cap. Imam Haithami has established a chapter on "Topi" in his book of Hadith Majma Uz Zawaaid and has recorded a Hadith on the authority of Tabarani:
Translation of Hadith: It has been narrated on the authority of Hadhrat Abdullah bin Umar (May Allah be well pleased with them) that the Holy Prophet (Sallallahu alaihi wa sallam) would wear a white cap.
(Majma Uz Zawaaid, Vol. 5, Pg No. 121)
There is a Hadith in Jame' Tirmidhi:
Translation of Hadith: Indeed! The difference between us and the "Mushrikeen" (those who take partners with Allah Ta'ala) is turbans tied on caps.
(Jame' Tirmidhi, Vol. 1, Pg No. 308)