During 2nd interview, hiring manager asked for my former and current managers plus coworkers' names. Is this normal?

Hello. I recently had an hour and 15 minutes second interview going through in chronocgical order all of my jobs on my resume, and hiring manager asked me for each of my jobs' manager(s) and coworkers. I mentioned their names, including my current ones.

Is this normal protocol during the interview process? I've never been asked to inform them of all of my managers and coworkers' names before.... Frankly, I'm afraid they'll call my current manager when I didn't even get hired yet.

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