Many organisms with heteromorphic sex chromosomes possess a mechanism of dosage compensation (DC) in which X-linked genes are upregulated in males to mitigate the dosage imbalance between sexes and between chromosomes. However, how quickly the DC is established during evolution remains unknown. In this study, by irradiating Drosophila miranda male flies, which carry young sex chromosomes (the so-called neo-sex chromosomes), with heavy-ion beams, we induced deletions in the neo-Y chromosome to mimic the condition of Y-chromosome degeneration, in which functional neo-Y-linked genes are nonfunctionalized; furthermore, we tested whether their neo-X-linked gametologs were immediately upregulated. Because the males that received 2-Gy iron-ion beam irradiation exhibited lower fertility, we sequenced the genomes and transcriptomes of six F1 males derived from these males. Our pipeline identified 82 neo-Y-linked genes in which deletions were predicted in the F1 males. Only three of them showed a one-to-one gametologous relationship with the neo-X-linked genes. The candidate deletions in these three genes occurred in UTRs and did not seriously affect their expression levels. These observations indirectly suggest that DC was unlikely to have operated on the neo-X-linked genes immediately after the pseudogenization of their neo-Y-linked gametologs in D. miranda. Therefore, the dosage imbalance caused by deletions in the neo-Y-linked genes without paralogs may not have effectively been compensated, and individuals with such deletions could have exhibited lethality. Future studies on sex chromosomes at different ages will further reveal the relationship between the age of sex chromosomes and the stringency of DC.