An integrated circuit comprises scan test circuitry and additional circuitry subject to testing utilizing the scan test circuitry. The scan test circuitry comprises at least one scan chain having scan cells. The scan test circuitry is configured to control at least a given one of the scan cells so as to prevent the scan cell from capturing a potentially non-deterministic value from a portion of the additional circuitry. The portion of the additional circuitry that provides the potentially non-deterministic value may comprise, for example, at least one of a mixed signal logic block and a memory block of the additional circuitry. The given scan cell may be controlled by configuring the scan cell such that it is unable to capture data in a scan capture mode of operation in which it would otherwise normally be able to capture data.