One source informed E! News that she is in her second trimester and is 'so excited' about being a mother for the first time.
There has been no comment from Irina Shayk's rep as yet about the pregnancy news.
Fans were also spreading the rumour when Irina Shayk posted this photo to Instagram...
"The most beautiful gift is a baby !! Congrats and wish you the best" said one commenter.
"Congrats on your pregnancy. The baby will be beautiful, with yours and Bradley Cooper's genes." wrote another.
Irina and Bradley Cooper were first spotted romantically in May 2015, and have reportedly spoken about marriage as of a couple of weeks ago.