President Donald Trump’s new travel ban doesn’t appear to affect businesses much differently than the first one, but employers won’t know for sure until they see it in practice.

The terms of the March 6 executive order state that foreign nationals from the six countries named in the ban—Iran, Libya, Somalia, Sudan, Syria and Yemen—who already have valid visas or green cards won’t be affected. But there’s still a chance they’ll face additional scrutiny if they travel, attorney Jeffrey Bell of Polsinelli, a law firm in Kansas City, Mo., told Bloomberg BNA.

The “hope” is that the new order will...