In the air atmosphere, high superconducting transition temperature (Tc) Nd1+χBa2-χCu3O7-δ (NdBCO) single crystals were grown by top-seeded solution-growth (TSSG) Two controllable thermodynamical parameters, i.e. liquid composition and growth temperature were focused on. Using the ratio of Ba to Cu (Ba:Cu) at 0.78 in the liquid, the grown NdBCO crystal displays onset Tc of 94.6K with a sharp transition width DT less than 1.5K. The Ba-rich liquid leads to the lower substitution of Ba with Nd in grown crystals, resulting in the higher Tc. This finding suggests that the Ba: Cu ratio in the liquid is a very important processing parameter for obtaining higher Tc of the NdBCO uperconductors. In addition, the higher Tc as well as the lower Nd substitution can be achieved when using the lower growth temperature. These results are consistently interpreted by the NdO1.5-BaO-CuO ternary phase diagram.