There is no simple way to do this but it is theoretically possible to nest fields and insert those in front of every heading where you want to start a new odd page. This requires you to NOT use the odd-page section breaks.
See
http://word.tips.net/T001560_Startin...red_Pages.html for the basic principle.
Note that the code on that page has an extra field closing tag and should appear like
{IF {=MOD({PAGE},2)}=0 "<hard page break>" ""}
FWIW, I haven't had much luck with this method and continuously needed to update fields and ended up writing a macro to do the job. You may have more luck.