Under the proposals announced by the Home Office, suspects could be banned from using a laptop or mobile phone, accessing social media networks, associating with certain people, or accessing their finances.
SCPOs can already be sought to curb the movement of people involved in organised immigration crime.
However, the government said the measures were not being used to their full effect and it planned to introduce the new “interim” orders.
Police, the National Crime Agency and other law enforcement bodies would be able to apply directly to the High Court for these orders without going through the Crown Prosecution Service, the Home Office said.
Breaching an interim order could lead to up to five years in prison.
The changes will be included in the government’s Border Security, Asylum and Immigration Bill, which is expected to be introduced to parliament in the coming weeks.
Cooper said: “Dangerous, criminal people-smugglers are profiting from undermining our border security and putting lives at risk.
“They cannot be allowed to get away with it.
“We will give law enforcement stronger powers they need to pursue and stop more of these vile gang networks.”