Increasing H1Bs certainly isn't Trump's stated position. While he hasn't mentioned it directly, he had Disney workers who were replaced by H1B workers speak at a rally:
Trump and Session's position (he's relevant since administrative reforms might well involve the DoJ, plus legal enforcement is all but totally lacking) is "Intel yes, Infosys no".
So it that's what actually happens (very hard to predict, especially if the Congress joins the game), their actions will harm body shops and their employees who directly replace American works like at Disney, and it's telling that that stunt was blatant and I'm told clear cut illegal, but not those who get a US degree or who are the world's "best and brightest".
In Sessons' 2015 law, he proposed to allocate the visas to the highest paying positions, which if actually enforced, and adjusted for cost of living, would go a long way towards fixing that problem (while still leaving a host of problems with this visa, although maybe some were addressed in the law as well).
He pretty much has[1], stating that DoL will be directed to investigate visa abuse that undercut american workers.
[1] https://www.youtube.com/watch?v=7xX_KaStFT8