Qualified to play for both the West Indies and England (through both maternal genealogy and residency), he chose to play for England.
He made his ODI debut in September 2013 against Australia, and took his first ODI five-wicket haul against Sri Lanka on at Old Trafford, with figures of 5 for 29, helping England to a 10-wicket win.
He played in the second ODI against India, although he did not perform well, finishing with figures of 0-73. Jordan was selected in the squad for the return series against Sri Lanka.
He made his first appearance of the tour in the third ODI, where he took figures of 2-46.
He was also named in the squad for the second test.