The pair have been married since 2010 and have two children, daughters Hazel and Violet.
Although you can't quite make out what they're saying to each other, people read their lips and said they thought they noticed John mentioning the word "divorce."
"Did he say, 'I can't wait to divorce?' And she said, 'Hey,' and he stated, 'I'm serious,'" one TikTok user wondered.
"I've watched this 500 times trying to convince myself he said something other than divorce," said another.
A third person wrote, "I swear he's saying divorce, but I want him to be saying, 'Get through this.'"
Meanwhile, others thought John was simply complaining about how chilly it was outside.
"You can hear her say, 'It’s actually kinda chilly right now.' And he responds, 'I can’t wait to get indoors,'" one person wrote.
Someone also said, "Even if he did say that, maybe it was just a joke between them that went over all of our heads, lol. [It] seems like the kind of joke he would make."
Emily and John have yet to comment on their conversation or the speculation, but we'll let you know if they do. In the meantime, check out more of our Golden Globes coverage here.