Abstract -------- In this paper, we define a new conflict notion nbConf (non-blocking conflict) that facilitates non blocking implementation of the read operation for nested transactions. The conflict notion is based on new non-blocking lastWrite specification nblwSpec for read operations. Using this conflict notion does not cause a scheduler to block unlike the previous conflict notion for nested transactions. The definition of the conflict is generic enough so that it can be used with other correctness criteria as well.