As long as you are traveling using a national passport issued by one of the countries that has concluded the reciprocal agreement with the USA (viz. the "Six Month Club") and are otherwise properly documented with regards to NIV, ESTA or whatever else is required in your specific case, you will have no issues regarding the validity of your passport.

It should be noted that this concession does NOT always apply to non-citizen travel documents (such as 1951/1954 Convention documents or equivalent) which may require additional validity even if issued by a state that is part of the "Six Month Club".