Let's bring this old topic back to life!
There seems to be a confusion between back-to-back and nested tickets. I don't know if I use the correct terms, but if I buy tickets as TravelLover, Austman and Old Gold states, it is legal.
I have the same situation (and had it once before). Both times I called Delta and specifically told them the whole situation. Both times I was told it is OK to do this, providing I use all segments of both tickets.
If it wouldn't be OK, I would guess that the airlines would more or less keep us hostage at the far end for the duration of the trip our companies are sending us on. I really wouldn't be able to purchase my own ticket, not even on a competing airline, if this was illegal (using that term loosly).
If anybody has opposing inside information, please let us hear it.
/Pete