In　the　current　trend　of　miniaturization　and　simplification　of　imaging　flow　cytometry,　Lab-on-a-Chip　(LoC)　microfluidic　devices　represent　an　innovative　and　cost-effective　solution.　In　this　framework,　we　propose　for　the　first　time　a　novel　platform　based　on　the　compactness　of　a　holographic　microscope　slide　(HMS)　in　combination　with　the　new　computational　features　of　space-time　digital　holography　(STDH)　that　uses　a　1D　linear　sensor　array　(LSA)　instead　of　2D　CCD　or　CMOS　cameras　to　respond　to　real　diagnostic　needs.　In　this　LoC　platform,　computational　methods,　holography,　and　microfluidics　are　intertwined　in　order　to　provide　an　imaging　system　with　a　reduced　amount　of　optical　components　and　capability　to　achieve　reliable　cell　counting　even　in　the　absence　of　very　accurate　flow　control.　STDH　exploits　the　sample　motion　into　the　microfluidic　channel　to　obtain　an　unlimited　field-of-view　along　the　flow　direction,　independent　of　the　magnification　factor.　Furthermore,　numerical　refocusing　typical　of　a　holographic　modality　allows　imaging　and　visualization　of　the　entire　volume　of　the　channel,　thus　avoiding　loss　of　information　due　to　the　limited　depth　of　focus　of　standard　microscopes.　Consequently,　we　believe　that　this　platform　could　open　new　perspectives　for　enhancing　the　throughput　by　3D　volumetric　imaging.