The 30-year-old Russian model, who was in Paris for the Victoria’s Secret Fashion Show on 30 November, is yet to confirm the news.
Shayk gave nothing away at the 2016 Victoria’s Secret Show, where she donned revealing lingerie that covered her stomach.
Shayk previously told Hello! Magazine she wanted to have children sooner rather than later.
“My father was married to my mother for more than 20 years and, yes, definitely one day I want to have a family because that is the most important thing on this earth,” she said.
“I don’t think there is a perfect time. I think it’s more important to have the right person by your side.”
Shayk and Cooper started dating in April 2015 - congrats to the couple!