Yes, "quickly" is obviously industry-dependent. If they were fabricating something extremely easy to manufacture, "quickly" might mean months-to-a-year. Fabricating something very complicated like memory "quickly" might mean years.
That said, even though we might have to wait years for new supply to hit there market, we probably don't have to wait years to see signals of that. We will likely know that manufacturers are starting to build new supply long before we see the chips hit the market.