Paulite,

I just travelled to Nepal not very long ago. What I saw really surprised me. After haveing all the clearance from the airline, there were baskets where you were to drop your I-94. Most of the time, the airline agents did not even bother asking you the I-94 and the way they were put in the basket I doubt they ever got to the Immigration officers. Noone from the Immigration Department was present asking for I-94 or anything. So, I do not think that it is so big of an issue, but just to be on the safe side, consult your International advisor.

All the Best!