Jennifer, 25, and Chris, 37, haven't yet even confirmed that they're in a relationship, but that's not enough to stop the baby rumour mill from going into overdrive.
"Jen is talking engagement, babies, the whole nine yards," a source told the American OK! magazine.
"[Jen would] love to have a little girl. She's been totally swept off her feet by Chris and is convinced they've got what it takes to go all the way."
As well as the fact that the pair's relationship - if it does exist - is still very new, another thing which may be stopping them from thinking about babies just yet is the small matter of Chris's wife.
Chris is still married to Gwyneth Paltrow - the mother of his two children, Apple, 10, and Moses, eight. The pair split up in March but have not yet divorced.
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On the other hand, Jennifer has never made a secret of the fact that she wants to be a mother.
"I do feel like the reason I was put on this Earth is to be a mother, which is why it's funny for me to end up with such an overwhelming career," she told The Daily Beast. "Ever since I was a baby, I was always playing house.
"I was a nanny and babysitter. I always loved children."
Despite this hard-to-argue with evidence, we'd advise against buying any gifts for a Lawrence-Martin sprog just yet!
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