Unfortunately for the Wings, that was all the moving up for them for the night.
The Red Wings finished 32-40-10 for 74 points, the fourth-worst record in the league, but ended up falling to the sixth spot in the lottery.
Detroit also picked sixth last season and selected forward Filip Zadina, who was predicted by the mock drafts to go third.
The Chicago Blackhawks and New York Rangers moved into the top three.
Detroit came into the night with a 9.5 percent chance at the No. 1 pick and a 28.8 percent chance of getting a top-three pick.
Percentage-wise, the Wings had the best chance of getting the sixth pick at 34 percent.
The New Jersey Devils were third worst with a record of 31-41-10 for 72 points but ended up winning the lottery. They had an 11.5 percent chance at the top pick.