I got the following error when trying to access https site such as google, anything wrong with tinyproxy? does it support https proxy properly?

My system is redhat 6.7(2.6.32-573.el6.x86_64), with openssl-1.0.1e-57.el6.x86_64

Mar 31 00:17:07 rhel67ws tinyproxy[5392]: Request (file descriptor 6): CONNECT www.google.com.hk:443 HTTP/1.0
Mar 31 00:17:07 rhel67ws tinyproxy[5392]: No upstream proxy for www.google.com.hk
Mar 31 00:17:07 rhel67ws tinyproxy[5392]: opensock: opening connection to www.google.com.hk:443

Mar 31 00:17:07 rhel67ws tinyproxy[5392]: opensock: getaddrinfo returned for www.google.com.hk:443
Mar 31 00:17:07 rhel67ws tinyproxy[5392]: Established connection to host "www.google.com.hk" using file descriptor 7.
Mar 31 00:17:07 rhel67ws tinyproxy[5392]: Not sending client headers to remote machine
Mar 31 00:17:07 rhel67ws tinyproxy[5392]: handle_connection: Could not send SSL greeting to client.
Mar 31 00:17:07 rhel67ws tinyproxy[5392]: Error reading readable client_fd 6
Mar 31 00:17:07 rhel67ws tinyproxy[5392]: Could not retrieve request entity
Mar 31 00:17:08 rhel67ws tinyproxy[5388]: Waiting servers (4) is less than MinSpareServers (5). Creating new child.
Mar 31 00:18:37 rhel67ws tinyproxy[5393]: Closed connection between local client (fd:6) and remote client (fd:7)