In Pokémon LeafGreen , the Day Care checks for an egg every 256 steps you take, so the answer is 256 steps per egg check, not a fixed number of steps until one always appears.

How it works

  • After each 256-step check, the game may decide whether the Day Care couple has found an egg.
  • The chance depends on the Pokémon pair you left there, so sometimes you get an egg quickly and sometimes it takes longer.
  • This is separate from hatching an egg, which takes many more steps depending on the species.

Practical tip

If you want eggs faster, use a compatible breeding pair; the game makes the egg check on step intervals, but compatibility affects whether an egg is actually produced.

TL;DR: LeafGreen Day Care egg generation is checked every 256 steps.