This paper describes the design of an optimal time-sequential sampling (OTSS) sequence to sample the color reproduction characteristic (CRC) function which is a high dimensional signal. The CRC describes the printer's desired-color to output-color map. Time-sequential sampling (TSS) is an approach to sample a small number of n color samples (typically n = 3) at each time print belt cycle, while at the same time gives sufficient information to properly reconstruct the time-varying CRC with minimal reconstruction errors. Hence only minimal sensing resources are required to obtain the high dimensional CRC at each time step, making color consistency control possible. Optimality in the OTSS design is achieved by maximizing the time between each successive n samples. The proposed OTSS design can be implemented practically and to achieve nearly similar reconstruction performance, the OTSS sequence with n=1 requires 63% less samples per unit time compared to full sampling.