The change is being deliberated at the Ministry of the Interior.
According to the proposal, the immigration service will also handle the initial tasks involved in asylum seeking which currently are processed by the police and the border guard.
The reform is aimed at establishing the immigration service as the authority responsible for migration issues.
In addition, the aim of the reform is to achieve long-term cost savings.
The proposal for transferring the authority is scheduled to be submitted to parliament during its 2016 spring term.
The changes are expected to come into force in 2017.