Conventional concepts for transport in porous media assume that the heterogeneous distribution of hydraulic conductivities is the source for the contaminant temporal and spatial heavy tail. This tailing, known as anomalous or non-Fickian transport, can be captured by the beta parameter in the continuous-time random walk framework. This study shows that with the increase in spatial correlation length between these heterogeneous distributions of hydraulic conductivities, the transport's anomaly reduces; yet, the beta value is unchanged, suggesting a topological component of the conductivity field, captured by the beta. This finding is verified by an analysis of the solute transport, showing that the changing conductivity values have a moderate effect on the transport shape.