Does changing immigrant status affect their wages?

Adam Ozimek reports:

A 2002 paper from Kossoudji and Cobb-Clark found that following the 1986 illegal immigrant amnesty, the wages of those amnestied rose 6% between 1989 and 1992. They found that the majority of the wage penalty of being illegal is due to an inability to move between occupations.

…The effect this will have on labor markets is complicated slightly by the fact that it’s not really a full amnesty. Instead it’s really a three year promise to not deport, and a three year work permit.

There is more here.  The original research is on JSTOR here.