The phrase "to make the rounds" means to go from place to place or person to person, usually as part of a routine or to check on something or someone. Full definition
Last year this article started making the rounds on facebook and social media. (jennlyons.com)
Great for making the rounds in institutions, these dogs are energetic. (topdogtips.com)
An early version is now making the rounds of trade shows, and later, more - accurate versions will eventually show up in your living room. (popsci.com)