His police custody ended on Thursday.
According to the prosecution lawyer, Kerala Police's request for his remand was accepted by the court that sent Islam to the Ernakulam district jail.
"Islam's lawyer presented a petition saying that he should be permitted to speak with his client in the jail. The court will pronounce its order on this on Friday," the prosecution lawyer said.
Islam was presented before the court on Thursday without his face being covered. However, police requested the media not to publish his photograph.
Jisha, a Dalit law student, was found dead in her house by her mother Rajeshwari on April 28. The young woman was raped and then murdered allegedly by Islam, who had earlier worked in the house as a labourer.
He was arrested from Tamil Nadu following massive public outcry and political blame game over the law and order situation in Kerala.
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