Is there any way to put a case statement within a join like this

SELECT * FROM DESSERTS

CASE WHEN ____ = ____ then

JOIN someTable on x.TableName1 = desserts.TableName1

When ____ = _____ then

JOIN someTable on x.TableName2 = desserts.TableName2

Else

Join someTable on x.TableName3 = desserts.TableName3

Sorry for the mulitple edits of this. For some reason the space bar was submitting it... Weird!!!

So basically depending on a particular case I want to join a main table with a secondary table.

Thanks