The hypothesis that K-complexes (KCs) contribute to the process of synchronization leading to Slow-Wave Sleep (SWS) was evaluated by measuring their dynamic evolution across sleep cycles and before transitions to rapid eye movement (REM) or to SWS. KC density and inter-KC intervals respectively decreased and increased across the sleep cycles, revealing linear trends. Comparisons among transitions from stage 2 to SWS or to REM sleep showed a prevalence of KCs before the shift to SWS as compared to REM. Changes in KC density before the shift to SWS were fitted by a linear regression, at variance with the transition to REM sleep. Intra-night variations of KCs, paralleling the well-known decrease of slow waves across sleep cycles, and intracycle variations before shifting to SWS, both converge to indicate that KCs can be considered as the forerunner of delta waves.