Wes Burns (27th) and Omari Hutchinson (48th) allowed Ipswich to celebrate a second consecutive promotion and return to the first division after 22 years of absence.
At the same time, Leicester, already assured of finishing champion, lost 0-2 at home against Blackburn (double from Sammie Szmodics, 68th, 90th +4). Wout Faes played the entire match and Dennis Praet remained on the bench.
Leeds United, Southampton, West Bromwich and Norwich City will now face off in the play-offs for the final ticket to the Premier League.