How can I get Apple Watch to unlock a particular user account on iMac or is that not possible?

I have managed to get my Apple Watch (series 2) to unlock the iMac (2015 5k) when I have been logged in on my account and then put the mac to sleep. However, my wife has an account on the mac and after she uses it she will log out and the mac will go to the page where you can choose the user. If I click on my account I need to enter the password - the Apple Watch does not log me in.

Is there any way for the mac to recognise that it is me in front of it and log into my user account?

Thanks!