WASHINGTON—The Trump administration doesn’t intend to give any special treatment or outreach to California while it drafts new federal rules on vehicle emissions, according to people familiar with the matter.

President Donald Trump had suggested last week that his team would work on a deal with the state, and past federal overhauls have included advanced collaboration with California, which has unique power to police vehicle pollution. But Mr. Trump’s Environmental Protection Agency is sticking with a plan to finalize its...