More broadly, support for Trump's deportation program has declined in recent months. Sunday's poll found that 51 percent of respondents disapprove of the program, while 49 percent approve. That marks a notable drop from a similar February poll, when 59 percent approved, and from 54 percent in a June poll.

A new poll from CBS/YouGov says support for Trump's immigration policies have dropped by double digits since February.

CBS News' Willie James Inman is in Washington, where the president is marking the six-month mark of his second term.