They trail the Admirals 2-1 in the Central Divison semi-final.
Milwaukee built a 2-0 lead before Manitoba scored five straight, including a three-goal second period, two of which were power play markers.
Morgan Barron, Jeff Malott, Leon Gawanke, Nicholas Jones and Luke Johnson scored for Manitoba.
Declan Chisolm had a pair of assists for the Moose.
Mikhail Berdin made 21 saves for Manitoba.
Cody Glass amd Jimmy Huntington replied for the Admirals.
Devin Cooley turned aside 30 shots for Milwaukee, Milwaukee took an early lead 41 seconds into the contest when Cody Glass roofed a backhand past Mikhail Berdin off a rebound from a Jeremy Davies shot from the point.
The goal was his first of the playoffs.
Jimmy Huntington made it 2-0 with 2:54 left in the first when he took a Cole Schneider feed and broke in alone on Berdin before beating him with a solid wrister.
The goal was his second of the playoffs.
Morgan Barron got Manitoba on the board on the power play 3:52 into the second when he one timed a Ville Heinola feed past Cooley from forty feet out.
The goal was his second of the playoffs.
Jeff Malott tied it at 9:22 when he wired a seeing eye wrister from the point past Cooley just inside the right post.
The goal was his first of the playoffs.
Leon Gawanke gave the Moose the lead with 2:30 remaining in the second when he took a partner feed from Declan Chisolm and fired the disc through a screen, beating Cooley low blocker side to make it 3-2.
The goal was his first of the playoffs.
Nicholas Jones extended the Manitoba lead to two goals at 9:09 of the third when his shot from the blueline eluded Cooley and skipped past him to make it 4-2.
The goal was his first of the playoffs.
Luke Johnson made it 5-2 with 7:22 remaining in the third period to put the game out of reach for the Admirals.
Bobby Lynch found Johnson alone, cruising the slot before he hit him with a crisp pass as Johnson wired a high wrister just inside the right post to score his first of the playoffs.
Admirals Head Coach Karl Taylor pulled his goaltender with 3:30 remaining in the third but the Moose were unable to take advantage of the empty net.
SHOTS-MILWAUKEE 23 MANITOBA 35
ATTENDANCE-4832