No, its actually enough. If Hillary gets 48 more then she has 280 and Trump has 258.
But frankly I have issue regarding total fairness with there being any recounts in any State unless any and all states being within 0.5% (plus 1K) of the margin of victory on those being contested are likewise contested. This means that Nevada and New Hampshire ought to be recounted too for the sake of fairness IF this request gets any traction.
Thankfully, just like 2000/2004, we do not need to have a national recount.
One big benefit of having an electoral college that votes state-by-state is that there will never be a need for a national recount.