"He had a concussion last year. He has concussions pretty much every -- I mean, we don't talk about it. He does have concussions," Bundchen said on "CBS This Morning" on Wednesday. "I don't really think it's a healthy thing for a body to go through that kind of aggression all the time. That could not be healthy for you."
The Patriots did not list Brady as having a concussion at any point in the 2016 season, and no concussion or head injury is listed for Brady in his professional career, according to Stats Pass. New England did report leg, thigh and ankle injuries for Brady during the 2016 calendar year.
The NFL requires "significant or noteworthy" injuries to be reported, regardless of whether a player is expected to miss playing time, and says honest reporting of injuries "affects the integrity of the game."
In a statement issued later Wednesday, the league said records it reviewed did not indicate Brady had suffered any type of head ailment.
"We have reviewed all reports relating to Tom Brady from the unaffiliated neurotrauma consultants and certified athletic trainer spotters who worked at Patriots' home and away 2016 season games as well as club injury reports that were sent to the league office," an NFL spokesman said. "There are no records that indicate that Mr. Brady suffered a head injury or concussion, or exhibited or complained of concussion symptoms."
The league added that it has contacted the NFL Players Association and that they will work together to collect additional information. The union's review of such a matter is standard protocol.
A Comcast SportsNet reporter tweeted a response from NFLPA head DeMaurice Smith.
The Patriots declined to comment on the report, and Brady's agent didn't immediately respond to a request for comment.
Bundchen was responding to a question about comments Brady has made that she wanted him to retire. She did not specify when Brady suffered a concussion or whether it was medically diagnosed and was not asked a follow-up question.
Her comments come two days after the 39-year-old quarterback reiterated to ESPN's Ian O'Connor that he wants to play into his 40s.
"I always said my mid-40s," Brady said of the prospect of retirement, "and naturally that means around 45. If I get there and I still feel like I do today, I don't see why I wouldn't want to continue."
He told O'Connor that his wife, who retired as a runway model at age 34 in 2015 and has since focused on environmental issues, wants him to play that long as well.
"She wants me to do that too," Brady said. "She also wants me to take good care of myself and still have my energy. My kids have grown up faster than I thought."
Brady started in 12 regular-season games and three playoff games last season, including the Super Bowl. He sat out the first four games last season while serving a suspension related to the Deflategate scandal.
Bundchen said she was more concerned about Brady's long-term health than his football career.
"That kind of aggression all the time, that cannot be healthy for you," she said. "I'm planning on him being healthy and do a lot of fun things when we're like 100, I hope."
In his ESPN interview, Brady acknowledged that his wife would play a role in his decision to eventually retire.
"She makes decisions for our family that I've got to deal with. Hopefully she never says, 'Look, this has to be it,'" Brady told O'Connor "My wife and my kids, it's a big investment of their time and energy too."
The Associated Press contributed to this report.