They were outclassed 51-13 by Wellington at Forsyth Barr Stadium on Saturday afternoon.
They will have an immediate opportunity at revenge though.
Wellington secured a home venue for the semifinal with the win and will host the Spirit, who have a lot of work ahead, this Sunday.
Otago are likely to be without centre Te Atawhai Campbell, who looked to have dislocated her shoulder in the Dunedin game.
Fellow midfielder Keely Hill went off for an HIA and may also miss the semifinal.
Otago coach Craig Sneddon said his side knew what they were up against and had prepared well.
"But unfortunately we couldn’t hold on to the ball for long enough," he said.
"They put us under pressure with their attack and ran really hard.
"They played well, moved the ball nicely and produced some great offloads. And they probably exposed us in a few places.
‘‘We've got a week to figure out how to close the gap.''
Wellington took just two minutes to open the scoring. They swung it right from a scrum close to the line and winger Drenna Fakaniko was on the end of the chain and went over in the corner.
Experienced first five Sheree Hume made a break in the middle of the field to get Otago into the right area.
Prop Rebekah Wairau ran on to the ball like a centre but was dragged down in the 22m.
Hume cut through another gap and looked like she might reach the line. But she could not stretch out far enough in the tackle to bag a five-pointer.
Instead it was Georgia Cormick who opened the scoring for the Spirit with a penalty from in front.
Wellington continued to threatened out wide and, following several attacks, veteran lock Joanah Ngan-Woo slipped over in the right corner in her 100th game for the Pride.
Otago had a couple of opportunities to add to their tally.
Cormick hit the post from a penalty and winger Oceana Campbell was pulled down just short following a strong run by fullback Charlotte Va’afusuaga.
Wellington was scrambling harder on defence than Otago, who found themselves outflanked on the other wing this time.
Harmony Kautai dotted down, and fullback Keira Su’a-Smith glided through a gap and collected a fourth try.
Otago were trailing 22-3 and fell further behind when replacement prop Lavinia Lea barged over to extend the lead.
The Spirit finally converted an opportunity. Left winger Jamie Church finished off in the corner following another break by Hume, who had a standout performance.
Replacement back Naomi Sopoaga grabbed an intercept on halfway and swatted off a defender to help prune the margin.
But the game had slipped away along with their chances of hosting a semifinal.
Wellington brushed aside some tired Otago defence to run in three late tries and edge past 50.
In the other championship games, Tasman edged Taranaki 39-36, and Manawatū dispatched North Harbour 31-0, whom they will play again in the semifinals.
Farah Palmer Cup
The scores
Wellington 51
Keira Sa’a-Smith 2, Harmony Kautai 2, Drenna Fakaniko, Joanah Ngan-Woo, Lavinia Lea, Monica Tagoai, Ivana Samani tries; Arene Landon-Lane 3 con
Otago 13
Jamie Church, Naomi Sopoaga tries; Georgia Cormick pen
Halftime: Wellington 22-3.
