Brady, who turns 41 on Aug. 3, has two more years remaining on his contract.
Attached to the comment from Brady's verified Instagram account were three monkey emojis, which ESPN reported are the three wise monkeys of the proverb, "see no evil, hear no evil, speak no evil."
Emojipedia.org also notes that the speak-no-evil monkey is "sometimes used as a playful 'I didn't want to say that' expression," or to express "my lips are sealed/I won't say anything."
In an interview with Oprah Winfrey that aired Sunday, Brady acknowledged his three children could become a significant part of his decision to retire.
"As long as I'm still loving it. As long as I'm loving the training and preparation and willing to make the commitment. But it's also, I think what I've alluded to a lot in the ['Tom vs. Time'] docuseries was there's other things happening in my life, too. I do have kids that I love, and I don't want to be a dad that's not there driving my kids to their games," Brady said in the interview.
"I think my kids have brought a great perspective in my life, because kids just want the attention. You better be there and be available to them, or else they're going to look back on their life and go, 'Dad didn't really care that much.'"