How stem and progenitor cells give rise to multiple cell types in defined numbers and proportions is a central question in developmental biology. Epigenetic switches, acting at single gene loci, can generate extended delays in the activation timing of lineage-specifying genes, and thereby impact lineage decisions and cell type output of progenitors. Here, we analyzed a timed epigenetic switch controlling Bcl11b, a transcription factor that drives T cell lineage commitment, but only after a long multi-day time delay in expression. To investigate roles for this delay in controlling lineage decision making, we analyzed progenitors with a deletion in a distal Bcl11b enhancer, that further extends this delay by ~3 days. Strikingly, delaying Bcl11b activation reduces T cell output but enhances ILC generation in the thymus, and does so by redirecting progenitors to the ILC lineages at the T and ILC developmental branchpoint. Mechanistically, delaying Bcl11b activation promoted ILC redirection by up-regulating a PLZF-dependent ILC transcriptional program in progenitors. Despite up-regulating PLZF, committed ILC progenitors were still capable of later activating Bcl11b, which is also needed for specification of type 2 ILCs. These results show that epigenetic switches, by controlling the activation timing and order of lineage-specifying genes within regulatory networks, can modulate population sizes and proportions of differentiated cell types.