Hearing aid systems where a data streaming device streams data to a hearing aid and methods of maintaining synchronization when converting a sampling rate are disclosed. A hearing system comprises a hearing aid, a sampling rate converter, a buffer, an RDWiff signal, and a control circuit. The hearing aid receives data from a data transmission device, and the data received has a first sampling rate. The sampling rate converter is in the hearing aid and converts the sampling rate of the received data to a sampling rate suitable for use by digital signal processing circuitry in the hearing aid. The buffer receives data from the sampling rate converter. The RWDiff signal indicates the difference between the rate at which data is read from and written to the buffer. The control circuit compares the RWDiff signal to a predetermined RWIdeal quantity and generates an adjustment signal.