According to the media house, a witnessed said that the officers forced the lawmaker, who was on the hospital bed, into an unmarked vehicle and drove him to an undisclosed location.
Mr Melaye was arrested last week after police laid siege on his home in Maitama, Abuja, for eight days.
He turned himself in after hiding in the house for days. Mr Melaye has been in the hospital since then.
Police had declared him wanted after it was alleged that he was involved in the shooting of an officer in his native Kogi State.