It's hypothetically possible, but I would strongly advise against it. Since your departing flight closes at T-15 minutes, you only have 30 minutes to hop on the monorail, go two terminals down, and deal with some of the most "dedicated" TSA staff in America. And of course, this all assumes that there is no delay on the inbound.

If at all possible, I'd suggest either lengthening your connection, or going through IAH/CLE.

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