In the video, Lee gives his little guy a pep talk, telling Debias to stay strong but reassuring him that he can cry if he needs to, as his girlfriend, Shamekia Harris, records the visit on her phone.
The endearing Facebook video, with the caption, "I felt his pain, wait till the end," has about 14 million views and almost 200,000 shares as of Wednesday.
Lee told People Magazine that he "felt kind of scared a little bit" knowing that his child was "going to go through some pain."
"I really didn't know the video was being filmed at the time," the 29-year-old Georgia dad told Romper.
"What happened was, when me and my girlfriend went to the parking lot, she said, ‘I have a video to show you.' So she sent the video to my phone and something just told me to push it on [Facebook]."
Lee hopes that this video will remind people of the responsibilities that come with parenthood.
"I want them to take care of their kids, because when you sign up for something, you have to stick with it," he told People Magazine.
This isn't the first time a vaccination video has gone viral. In 2014, a video of pediatrician Michael Darden's interesting approach to giving vaccines also took the internet by storm.