Wolves beat the Owls to ensure that a meagre Championship campaign finished off on a high note, with Jackett's men ending the season in 14th position.
An own goal from Michael Turner sent them on their way, before George Saville doubled the lead on 34 minutes to give the hosts a 2-0 half-time lead.
Lewis McGugan converted a last-minute penalty to give Wednesday a sliver of hope, though it was too little too late. The Owls boss Carlos Carvalhal made a raft of changes to his first XI, given that Wednesday are set for the playoffs, and Jackett reminds fans not to get carried away by the victory under the circumstances.
"We have to be under no illusions that to get ourselves close to a top-six side we have to improve because in the end that was Sheffield Wednesday's second team today," he's quoted as saying by Sky Sports.
It has been a disappointing season for Wolves but Jackett will be determined to make up for it next term, having seen speculation over his future perhaps derail his troops at times this season.