Despite the word "warrant" being present, an “administrative warrant” does not allow law enforcement to enter private property.
If they find a illegal immigrant on public streets, they can be detained, but still cannot enter a private residence (even if occupied by an illegal immigrant) as it would violate the 4th amendment.
> Despite the word "warrant" being present, an “administrative warrant” does not allow law enforcement to enter private property.
Even an actual judicial arrest warrant doesn't (legally) allow them to enter private party on suspicion that the target might be there. Search is a separate thing from seizure, and you need a judicial search warrant to search a private residence or the non-public areas of a business for a person, no matter what authority you might have to arrest them should you find them.