There is more and more evidence that the Social Democrats' next party chairman is Magdalena Andersson.
This week's episode of Politikbyrån is all about this.
Here are her main challenges:
# To be elected Prime Minister at all
It is probably required that the government can perform a budget that is so attractive that both the Center Party and the Left Party can vote yes to it and at the same time release a new Social Democratic party leader as prime minister.
An alternative is for these parties to accept the Prime Minister, but without voting in favor of the budget.
Then a new Social Democratic prime minister may be forced to govern the country on a moderate budget during the election year 2022.
Not a good start, exactly, but still better than if a majority in the Riksdag rejects both the budget and the new party leader as prime minister.
Then there will be a government crisis.
# To build a long-term collaboration in the Riksdag to be able to govern Sweden
Since the January agreement broke down, the government has not had a majority in the Riksdag for its budget.
Mandate mathematics is simple: To be able to govern the country, a Social Democratic prime minister needs the support of both the Center Party and the Left Party.
There is nothing in the development of opinion to indicate that this will change after the 2022 election.
But this means that these parties must also be able to negotiate with each other, which C-leader Annie Lööf constantly rejects.
The issue is politically sensitive within the Center Party, which sees the Left Party as an outlying party.
For a new Social Democratic party leader, it is crucial to be able to include these two parties in a government collaboration.
# To reverse the downward trend in public opinion
In an international comparison, the Swedish Social Democratic Party is quite strong.
It is also by far Sweden's largest party.
Today's levels in public opinion, around 25 percent, are, however, a historically weak public support.
The Social Democrats have for a long time lost voter support and internally the discussion is going on how the party should be able to grow again.
# Launch a new policy for Sweden
For a new party leader and prime minister, it is crucial to take the political initiative.
It can be about climate policy, jobs, economic equality or a program against crime.
This is especially important for today's social democracy.
After several years of cooperation with the Green Party, the Center Party and the Liberals, the Social Democrats' political profile has become unclear.
The compromises in the January agreement on economic policy and the compromises with the Green Party on the migration issue, among other things, have created ambiguity about where the Social Democrats stand and what the party wants.
# To become a float for his party
Party leaders are the floats or the sink for their party.
Either they can help draw in voters, or repel voters.
Everything is talking right now for Magdalena Andersson as Löfven's successor.
The party wants a woman, and it is difficult to see that any of the candidates can match her skills and experience.
However, the task as party leader is not just about knowledge.
Educated at the School of Business and Economics and Harvard, she can beat most people's fingers when it comes to economics.
But both party comrades and political opponents testify to a politician who can act brusquely and sometimes condescendingly.
For Magdalena Andersson, it can also be a challenge to appear popular.