Connolly anchored the innings with 44 balls, while Prabhsimran Singh provided early fireworks with 37. Prasidh Krishna's 3 for 29 threatened to derail the chase, but Xavier Bartlett's 11 off 5 balls in the final overs secured the win.
Gujarat's Shubman Gill and Jos Buttler contributed fluent fifties but couldn't stop the late collapse.