It is the latest in a string of efforts to rework the law.
This one creates two distinct types of driver’s licenses.
Democratic Senator Pete Campos plans to introduce the bill Thursday.
The plan is to have one license for citizens and legal residents that is federally compliant, allowing license holders to board a plane and enter federal buildings..
A second license would not be federally compliant, but still allow illegal immigrants to drive legally.
That's different from a bipartisan bill introduced Wednesday that opens up the second type of driver's license only to so-called "dreamers" who were brought to the U.S. as children, but are not legal citizens.
However, she has not reacted to Senator Campos’ proposal yet.
"We want to make sure we have all the proper documentation to ensure that they are here,” Campos said. “We know where to locate them but they're also trained drivers. They have their driver's license because they'll have to take the test and they're also insured."
Campos expects to introduce his bill Thursday afternoon.
Both bills will be on their way to committees for further discussion before any action is taken.
The last day to introduce bills is Friday.
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New Mexico is located in the southwestern region of the U.S. Inhabited by Native American populations for many centuries, New Mexico has also been part of Imperial Spain, part of Mexico, and a U.S. territory.