Mark Carney is currently Europe seeking closer Canada-EU relations on military matters, trade and commerce, and the movement of people.
He will visit France and will attend the EU State of the Union address.
According to reports, he has put forward making Canada an associate member of the European Union.
Carney said visa regulations and potential visa-free travel will be part of the talks.
Some commentators note the European Union's favourable view of Carney is no guarantee of more straightforward trade negotiations.
They also say closer ties could carry drawbacks for Canada.