In [Stochastc Process. Appl., 122(9):3173-3208], the author proved the existence and the uniqueness of solutions to Markovian superquadratic BSDEs with an unbounded terminal condition when the generator and the terminal condition are locally Lipschitz. In this paper, we prove that the existence result r10.1214/EJP.v18-2124emains true for these BSDEs when the regularity assumptions on the generator and/or the terminal condition are weakened.