Meiosis is characterized by two cell divisions in a row (meiosis 1 and meiosis 2) that happen after DNA replication, it results in four gametes with N chromosomes.
If DNA replication occurs again between the meiosis 1 and meiosis 2, so the final result will be different. It will be four cells with 2N chromosomes (replication gives 4N, than meiosis give 2 cells with 2N chromosomes, replication gives again 4N cells, then finally meiosis 2 gives four cells with 2N chromosomes). So it will not result to gametes with N chromosomes which can fusion with another gamete of opposite sex to give a 2N zygote.