weird starting problem

[Zsolt]

I started experiencing a strange starting problem on my 88 5k tq.

It does this regardless whether the engine is hot or cold.
When I first turn the key it sounds like it's about to start, but then it
just turns over flat, and it doesn't matter how long I crank it. If I let it
sit for half a minute after, it starts on the first turn, and runs fine.

I know my injectors leak a little, and I have already ordered the new ones,
but I don't think this is injector related. Before this problem the car has
never started very fast. It always needed a few extra seconds.

Any BTDT?

TIA,
  Zsolt