Blocked cookies when adding/modifying setcookie parameters

I’ve read a few posts here having the Blocked Cookies error message when logging in after they’ve upgraded to 3.7/3.7.1. In my case I can still login without problems using the wp-login.php code from the 3.7/3.7.1 versions.

However, to satisfy some requirements I needed to set the secure and httponly flags for setcookie to true. It accepts the value for httponly but everytime I set the secure flag to true the “ERROR: Cookies are blocked or not supported by your browser. You must enable cookies to use WordPress.” message appears.

Anybody here who have tried to set these parameters or tried to modify the setcookie lines also and encountered this error message? Have you found a solution or if you have an idea why this error keeps on occurring?

Thanks.