The couple, who made their announcement on Cotton’s official website, said they were “very happy” to be sharing the news.
Cotton, who hinted she is already suffering morning sickness, wrote on Twitter: “Jesse and I have some news!!!!!”
She continued: ”We are over the moon, morning sickness aside (me, not Jesse) and looking forward to the little Cotton Woods arrival.”
The couple got together last year and began dating publicly at Glastonbury festival, where they were reported to be “smitten”.