Kourtney's concert announcement may have been cute, but it didn't come with much detail as to exactly when the baby was conceived or how long Kourtney has been pregnant. Because we know so little, it's anyone's guess when Kourtney may actually be due.
It seems likely, though, that Kourtney wouldn't have announced that she was pregnant until she was at least through the first trimester.
If that's the case, then Kourtney is at least three months along, which means that the baby could be due anytime in the fall or even winter. The probable due date range is in the last few months of the year, with November perhaps being the likeliest month.
Ultimately, though, all we can do is speculate as to exactly when Kourtney might give birth. Unless Kourtney and Travis share more details, we won't know for sure when she's due.