LetsEncrypt expiration certificate date issue

I am using Let’s encrypt on my production server to handle SSL certificate. My website certificate will expire next week so I regenerated it using the letsencrypt-auto renew command (I didn’t set cron task yet)

The last log I get is 2016-08-20 17:12:20,305:DEBUG:certbot.renewal:no renewal failures which mean certificate has been successfully regenerated

But when I go back to my website and check the certificate properties it still says that it will expire next week.

So:

• Does Let’s Encrypt wait the last day of certificate to update its new expiration in browser ?
• Did my new certificate is not working properly which explain browser still give me next week as expiration ?

Can someone help me to clarify the way certificates expiration date works ?
Thanks for your help !

Thanks to Let's Encrypt community, I have been able to figured out what was wrong: I just needed to reload my Nginx server and it updated the expiration time for certificate !