Trying to find out for you. It wasn't on the website for the Montreal consulate (I think it was on the site for India.) but there it said that you need a passport that's valid for at least 6 months from your date of entry into the us. So if you told them you were leaving a month from now, then you do need a new passport. If you can't get ahold of a human being at the consulate, probably you'd be best to just bite the bullet, get a new passport, send them a copy of the bio page, and they'll complete your paperwork.
You'd have to do it anyway as soon as you got to the us, what's the harm of doing it now, and then you don't need to worry about it for another 5 or 10 years!
Alternatively, if you can email and/or talk to a human, you might find out that they've just misplaced an earlier copy you sent them!
patientguy94 got a reaction from ZirZai in Islamabad Embassy AP list 2013