He says the government's instructions to the police focus on being quick to act when someone gets their refugee application turned down.
There are 1,000 people working with border policing in Sweden, although not all are police officers. Engström estimates that this number will have to double, eventually.
But will the government cough up the money needed for a doubled border police? "Well, hopefully," says Engström, who adds that now his force has made their needs clear, the government's normal budget work will start.
A lot of the work that Engström sees in the future is about coordinating better with other agencies and becoming more effective in that way.
He tells Radio Sweden that in many areas there is already more resources going to border work.
And he says that if the figure of 80,000 people with rejected asylum cases proves to be correct, then it'll probably mean about 30,000 to 25,000 deportation cases for his force, and with this happening over the next 3 to 4 years.