The New York Times reported that Brady's wife, model Gisele Bündchen, whom he married in 2009, said that's not the case.
According to her reply to a fan on her Instagram page, she and Brady are not supporting Trump.
Instagram user @_ricky_ve asked Bündchen about it under a photo of her supporting her husband's UnderArmour campaign.
"Gisele, I heard you and Tom were backing Trump! Is that true?"
"NO!" She wrote.
"Oh thank god! I was watching french channel M6 and they said that," the fan replied. "I'm so relieved thank you for responding!"
For what it's worth, Brady himself has not responded one way or the next about who he's supporting, although he did vote by absentee ballot Election Day morning.
Comcast SportsNet New England reported that Belichick did give a note to Trump, although the specifics of what the letter actually said are not clear.