This gets into the real problem: You have a bunch of H1-Bs who have passed labor certification, and will in 95% of all cases get a green card the minute a visa number is available for them, and yet, they can't really switch employers easily, and by the time the application is due, the'll probably be doing a very different job.
So why have a green card limit for H1-B applicants? After they apply, they can work in the US for an indefinite period anyway. So the only difference is that they spend 3-10 years with limited rights that actually depress everyone's salaries. After that much time in the US, they have already immigrated: They probably own a house, their children are American.
Get rid of the yearly quota for people already in the country: It's not as if a more mobile workforce that is already here is a problem.
So why have a green card limit for H1-B applicants? After they apply, they can work in the US for an indefinite period anyway. So the only difference is that they spend 3-10 years with limited rights that actually depress everyone's salaries. After that much time in the US, they have already immigrated: They probably own a house, their children are American.
Get rid of the yearly quota for people already in the country: It's not as if a more mobile workforce that is already here is a problem.