Of course, you should get a new stamp.
But for employment purpose, you should've
got a new SSN card that has no restriction
so that you can always use that card combined
with your driver's license to establish your
work eligibility during I-9 process with
your employers. As long as you have
your DL and a citizen-type SSN card and remember
your A# number. Neither plastic green card
nor the passport stamp is necessary for I-9
(I think this is a big loophole but that is not our
direct problem, or our fault).
By the way, I think we should obey INA 264
(8 USC 1304), but I think carrying the
passport is too risky.