The Whites secured their third straight Championship win on Tuesday night.
After a goalless first-half at Elland Road, the game kicked into life around the hour mark as the home side opened the scoring through an unlikely source.
Sol Bamba managed to find the top corner with a sumptuous volley from the edge of the area before Toumani Diagouraga secured his second goal in as many games with a neatly-taken finish four minutes later.
And while George Saville would set up a nervy final 10 minutes with a late reply, Steve Evans' men managed to secure their third consecutive victory, and Jackett conceded that they did enough to deserve the three points.
"It was a fair result. I don't think we did enough to get enough out of the game. Leeds had more shots than us from start to finish," he told the Express and Star.
"Overall we didn't do enough to win the game.
"I felt the first 20 minutes was our best period and we should have been ahead.
"After that Leeds slowly got their way back into the game."
While many may suggest that Leeds' current run of form has stemmed from the lack of pressure that is now on the side - with both the play-off places and relegation zone out of reach - the performances could still benefit their chances of success next season as they may be able to take some momentum into the next campaign, and it will also help give Evans an understanding of the work he needs to do over the summer if he is given a chance.
But with the opposition boss admitting that Evans' men deserved their win, it appears that they could be heading onto the right path.