Previous work has shown that run-time reconfiguration of FPGAs benefits greatly from the use of Tunable LUT (TLUT) circuits. These can be rapidly transformed into a specialized LUT circuit and are also very memory efficient when representing regularly structured designs, where the same hardware module is instantiated many times. However, the memory requirements and reconfiguration time of a run-time reconfigurable application are also dependent on the reconfiguration mechanism. In this paper, we will show that the memory requirements of conventional ICAP reconfiguration grow very fast with the number of modules, resulting in excessive memory usage. We propose to use Shift-Register-LUT (SRL) reconfiguration which is faster and results in a memory usage that is independent of the number of modules.