A little-noticed bill moving through Congress would allow companies to require employees to undergo genetic testing or risk paying a penalty of thousands of dollars, and would let employers see that genetic and other health information.

Giving employers such power is now prohibited by legislation including the 2008 genetic privacy and nondiscrimination law known as GINA. The new bill gets around that landmark law by stating explicitly that GINA and other protections do not apply when genetic tests are part of a “workplace wellness” program.