Anytime Fitness has a tattoo room at its corporate headquarters in Woodbury, Minn., with a chair, a sink and a book illustrating ways that employees can show off the company’s running man logo.

While job-hopping is rampant, a surprising number of American workers are expressing a bond with their employers in permanent ink. Employees at such companies as tech’s Red Hat Inc. and sportswear icon Nike Inc. have brand logos plastered on their ankles, shoulders and arms.

Some who wear their heart on their sleeve this way at first feel sheepish outside the office. Mark Daly, Anytime Fitness’s media director, said he was pressured into getting a company tattoo by co-workers chanting “Daly! Daly!” He hid the tattoo from his wife, Laura Daly, for three days before confessing at a hot tub party.

He recalled his wife was shocked but decided it was “kind of sexy.” Ms. Daly has a different recollection. “No, I would not describe it as cool or sexy,” she said, calling her husband a “knucklehead.”

At age 40, tattoos weren’t on the bucket list of consultant Mahadeva Matt Mani, a suburban father who generally wears suits with a tie and a pocket handkerchief. But at a company retreat in New Orleans a few years ago, he was called upon to prove his loyalty. His firm, Booz & Co., was being purchased by PricewaterhouseCoopers LLP, and employees were worried.