A senior manager at the Malmö branch of the agency says to Radio Sweden that just five weeks ago there were over 10,000 people seeking refuge every week, and now it is just a third of that.
"From an application point of view, the situation is much better now."
But Johan Harald, head of staff at Malmö Migration Agency, underlines that they are still finding it hard to house the refugees already in Sweden, because of the backlog that has built up.
As fewer people apply to be registered as refugees, the Migration Agency has been able to return to a more normal pattern of work, and is no longer, for example, using the Malmömässan conference centre as a place to house hundreds of refugees.
But regarding whether the crisis is over, Johan Harald says "every winter there are fewer asylum seekers than in summer and autumn, but considering events in Europe, we are at a high level of preparedness."