"There are people doing very dangerous journeys across the ocean. They pay money to unscrupulous human smugglers. We need to put an end to that. We see people dying out on the Mediterranean and we need to get a system where you stop that flow and get a much more orderly migration from Turkey to EU," Löfven said after the meeting between EU leaders and Turkey's prime minister on Monday.
The agreement only concerns refugees from Syria. Other people who travel the same way, and who may be in need of protection will have to return to Turkey.
"It is important to put an end to these trips and to stop these human smugglers. That is the first priority now," said Löfven.
The deal is not without its critics, however. The head of the UN refugee agency Filippo Grandi said he was "deeply concerned" by the proposal which would involve people being sent back to Turkey. Amnesty International said the plan "dealt a death blow to the right to seek asylum".
In Sweden, Left Party leader Jonas Sjöstedt called the agreement extortion from Turkey and chided European leaders for making the deal.
"I think it's embarrassing how the EU is cozying up to Turkey today. We know that at the same time the EU said it would pay Turkey to act as border guards and stop refugee, they saw that it was free to restrict press freedoms and oppress the country's Kurds," Sjöstedt told Swedish newspaper Expressen. "It leaves a sour taste in your mouth."
During the meeting, it emerged that Turkey demanded another 3 billion euro in support for its part of the deal. Before the meeting, Löfven had dismissed any talk of more money being paid to Turkey than what had already been agreed on. After the meeting, he told Swedish Radio News:
"The three million euro that we already have agreed on is going to support the refugees. They will be used during 2016-17. After that we are prepared to look at whether further resources are needed after 2017, that is during 2018."
But Löfven was clearly not impressed with these new demands that emerged along the way. "It is not a great method to get a (new) proposal to decide on while you are already sitting at the table. That is just not good," he said.