The generally accepted view is that photonic crystal fibers (PCFs) with a small effective mode area allow the control of chromatic dispersion in the near-infrared region. For this purpose, a silica index guiding PCF with hexagonal cladding is investigated to find its dispersion limitation. In addition, chromatic dispersion is entirely controlled by only three structural parameters; the influence of each structural parameter is examined and described in detail. Understanding the mechanism governing chromatic dispersion is necessary not only for the fiber design and dispersion tailoring, but also to predict the potential manufacturing tolerances. In spite of the fact that the fiber with specific parameters matches its relative dispersion slope to that of standard single-mode fibers over a large range of operating wavelengths, the negative dispersion parameter is not higher than those in commercially available dispersion-compensating fibers. Therefore, the fiber parameters are modified to find the balance between the operating bandwidth and the high negative dispersion parameter. The limit value for the dispersion parameter is found to be −1600 ps·nm−1·km−1 at 1550 nm, where the dispersion slope is achieved for the 120-nm wide band. We predict that the negative dispersion parameter cannot be higher in small effective mode area PCFs operating over a bandwidth larger than the one considered here. The results are calculated by the full-vectorial finite difference frequency domain method. The simulation model is verified by convergence testing.