The Tigers were held to a 2-2 draw by champions Cardiff on Saturday, but Watford suffered a last-gasp defeat at home to Leeds, ending their automatic promotion hopes.
Instead, Watford will compete in the play-offs, which they're 3/1 to win, along with Brighton and Leicester, who are joint-favourites to snatch the last promotion spot ahead of Crystal Palace (7/2).
Meanwhile, Wolves bowed out of the Championship with a tame 2-0 defeat at Brighton but they're 6/4 to gain promotion back into the second tier at the first time of asking.
Peterborough occupied the last relegation spot in the Championship table, and have been priced up at 8/1 to win League One next season behind Wolves (5/1) and Bristol City (11/2).
Sky Bet's Chris Spicer said: "The final day of the Championship more than lived up to its billing but all eyes will now be on the play-offs and we're expecting surprise contenders Leicester to take some momentum into it."