The Wild never had a chance to snag the No. 1 pick the last time it participated in a draft lottery seven years ago, but that'll be a possibility Tuesday when the NHL reveals the order of selection for 15 teams.
After finishing with 83 points, 11th among the clubs in the lottery, the Wild has a 3 percent chance of landing the top pick.
Results will be announced live during a one-hour show on NBCSN starting at 7 p.m.
There will be two ensuing draws, for the second and third selections, and odds for the remaining teams will increase on a proportionate basis based on which organization won the previous drawing. The 12 teams not picked will fill out spots four through 15 based on fewest to most regular-season points.
If the Wild doesn't move up, it will have the 11th overall choice at the draft, which is in Vancouver on June 21-22.
The change to the lottery format was implemented in 2016; in previous years, there was only one drawing for the No. 1 pick and a team couldn't move up more than four slots.
When the Wild last missed out on the playoffs, in 2012, it finished seventh among the non-playoff teams and retained that pick in the lottery, using it for defenseman Matt Dumba. That's been the highest the Wild has selected over the past 13 drafts, with a collection of midround picks following in the years the Wild even had a first-rounder.
In 2017, the Wild didn't make its first pick until Round 3 (forward Ivan Lodnia) after trading away its first two picks. It also didn't select in the first round in 2013.