Hi,
I had the same problem and maybe I’ve found a solution.
I had a look on the Status / Debug Info at the plugins general tab (Settings > Link Checker > General). There I saw that everything was “green” but Curl was marked as “not installed”.
I just installed the php5-curl package and restarted my web server:
# apt-cache search php5-curl
php5-curl - CURL module for php5
# apt-get install php5-curl
After that I reloaded the Status / Debug Info and finally Curl showed up as installed. My server runs on Ubuntu but I’m sure there has to be a similar package on all other platforms.
Finally, to be sure, I forced all links to be rechecked (the option to force a recheck is at the end of the Settings > Link Checker > Advanced Tab) and I did not get any broken https links since yesterday.
Hope this may help. Please let me know if this finally worked for you.
Best regards,
Eric Janz