CsV3Sb5exhibits superconductivity atTc= 3.2 K after undergoing intriguing two high-temperature transitions: charge density wave order at ~98 K and electronic nematic order atTnem~ 35 K. Here, we investigate nematic susceptibility in single crystals of Cs(V1-xTix)3Sb5(x= 0.00-0.06) where double-dome-shaped superconducting phase diagram is realized. The nematic susceptibility typically exhibits the Curie‒Weiss behaviour aboveTnem, which is monotonically decreased withx. Moreover, the Curie‒Weiss temperature is systematically suppressed from ~30 K forx= 0 to ~4 K forx= 0.0075, resulting in a sign change atx= ~0.009. Furthermore, the Curie constant reaches a maximum atx= 0.01, suggesting drastically enhanced nematic susceptibility near a putative nematic quantum critical point (NQCP) atx= ~0.009. Strikingly,Tcis enhanced up to ~4.1 K with full Meissner shielding realized atx= ~0.0075-0.01, forming the first superconducting dome near the NQCP. Our findings directly point to a vital role of nematic fluctuations in enhancing the superconducting properties of Cs(V1-xTix)3Sb5.