"conjugal" means you have to live together and in order to be qualified under that category you have to provide proof that you live together for at least one year. If you are not living together, you should not apply.
If you do live together for over a year, I think the closest option for you is common-law.
According to CIC definition:
Common-law partner
Means a person who has been living in a conjugal relationship with another person (opposite or same sex), continuously for at least one year. A conjugal relationship exists when there is a significant degree of commitment between two people.
To show that you are in a common-law relationship, submit proof that you:
- share the same home,
- support each other financially and emotionally,
- have children together, if applicable,
- present yourselves in public as a couple.
See section 1(1) of the
IRPR for the legal definition.
Conjugal partner
A conjugal partner is:
- a person who is living outside Canada,
- in a conjugal relationship with a sponsor for at least one year, and
- could not live with the sponsor as a couple because of reasons beyond their control (e.g. immigration barrier, religious reasons or sexual orientation.
Principal applicants who are living in Canada are not eligible to be sponsored as conjugal partners, either in the Spouse, Common-law in Canada program or the overseas sponsorship program.
This term applies to both heterosexual and homosexual couples.
In most cases, the foreign partner is also not able to legally marry their sponsor and qualify as a spouse. In all other respects, the couple is similar to a common-law couple or a married couple, meaning they have been in a
bona fide (genuine or real) conjugal relationship for a period of at least one year.
A significant degree of attachment and mutual interdependence between both partners must be shown. The couple must submit proof of the obstacles or restrictions that are preventing them from living together or getting married.
See section 2 of the
IRPR for the legal definition.