Data are accessed securely in a data storage device that includes a non-volatile solid-state storage device integrated with a magnetic storage device. An identical copy of drive security data, such as an encrypted version of a drive access password, is stored in both the non-volatile solid-state storage device and in the magnetic storage device. In response to receiving a command from a host device that results in access to the magnetic storage device, access is granted to the magnetic storage device if the copy of drive security data stored in the non-volatile solid-state storage device matches the copy of drive security data stored in the magnetic storage device. Furthermore, encrypted drive-unique identification data associated with the drive may be stored in both the non-volatile solid-state storage device and the magnetic storage device, and access is granted if both copies of the encrypted drive-unique identification data match.