The electrical resistivity and low-temperature specific heat ofexchange-enhanced Pauli paramagnetic Laves phase quasi-binary compoundsLu(Co1−xMx)2 (M = Al, Ga and Si) have been investigated in order to discuss the spinfluctuation characteristics and the Kadowaki–Woods plot. In these threekinds of quasi-binary system, both the electrical resistivity coefficientA and the specificheat coefficient γtot at low temperatures decrease at first and then significantly increase with increasingx. The concentration dependence of magnetic susceptibility at 0 K,χ(0), is also similarto that of A and γtot. The Wilson ratio becomes very large because of the enhancement of magnetic susceptibility. TheKadowaki–Woods plot is fitted to the same universal line of heavy-fermion compounds, A15-typeNb3Sn and V3Si compounds because of significant spin fluctuations in the present quasi-binary compoundsystems.