Double for less is only correct basic strategy when you can't hit or in games with re-doubling allowed. In a regular game, it is never correct basic strategy or correct index strategy to double for less, but people do it because they are afraid to double for the full amount. It is possible to turn a +EV hand into a -EV hand by not doubling for enough.
Edit: The statement in bold is incorrect. See my correction below.
This can be an opportunity for you. It is a +EV move to offer to top up their double. Just make sure you make it clear that you are to receive your bet back plus the winnings if the bet wins.