Hannah Jeter Didn't Watch Baseball Before Derek

Hannah Jeter definitely didn't hit it off with her husband by talking baseball -- because the supermodel says she didn't even watch the sport before she met the NY Yankees legend.

The 26-year-old -- who grew up in the Caribbean -- touched down at LAX where she told us she still really hasn't picked up on the sport ... despite being married to a guy who played for 20 seasons!

There's more ... Hannah also explains why she decided to change her last name -- instead of keeping "Davis" or even going the hyphenated route.

One last thing -- kids soon? Maybe. Check out the end of the clip.