<p>Specimen containers incorporating a sensor are provided with features for decreasing the volume of polymer matrix material required for the sensor. Such volume-reducing features can take the form of scallop-like indentations projecting inwards towards the interior of the container formed in the transition between the side wall of the container and the base of the container. Alternatively, the base of the container includes a raised rim extending upwards into the interior of the body inward of and spaced from the side wall. The rim defines a chamber for the sensor. Methods of manufacturing specimen containers with cured liquid phase sensor matrix materials are also disclosed.</p>