Their ranges do not overlap in the wild.
Well, they overlap very little:
The article I posted said:The Gir National Forest in India is the only place in the world where tiger and lion ranges overlap, fueling speculation that wild ligers roamed the area hundreds of years ago.
And still the article comments this:
The article I posted said:Lion-tiger mating occurs in captivity. But it does not happen in the wild, probably for the same reason humans do not breed with gorillas or chimps.