Temporary resident visa for common law partner

[jesuspraise]

Hello,

I have got my workpermit for canada. Now i am in uk. I plan to go Canada end of November. Before I go to Canada, I want to apply TRV TO MY partner.
When i applied my workpermit, I mentioned my marital status -SINGLE, because me and my partner not yet married and we did not have any evidence to proove that we are going to marry.But we live in same address together for about 2 years. After apply my workpermit only, we opened our joint account and beneficiary life insurance. I am not sure how it is going to work , if my partner applies TRV now.Actually i do not have enough time to do register marriage.
More over, my partners' UKvisa expires in end of january.

Could you please help me suggession how I can proceed TRV for my partner? We both are worrying now.

please help me out soon.
thank you