homebrew - trouble upgrading openssl? I'm on osx 10.11.

(Background:
I'm having trouble getting the system installed Python to use TLS 1.1.)

From what I've read I need to use brew to manage Python.  But I want to upgrade openssl first so Python picks up the right version?

I did brew update, brew upgrade, brew doctor (no problems)

Then I tried:

$ brew install openssl
Warning: openssl-1.0.2h_1 already installed
$ brew link openssl --force
Linking /usr/local/Cellar/openssl/1.0.2h_1... 
Error: Could not symlink ../../../opt/openssl/include/openssl/aes.h
/opt/openssl/include/openssl is not writable.
$ brew link --force openssl
Linking /usr/local/Cellar/openssl/1.0.2h_1... 1601 symlinks created


I'm not sure if those worked on not, but here's where I am now:

$ openssl version
OpenSSL 0.9.8zg 14 July 2015
$ which openssl
/usr/local/bin/openssl
$ ls -l /usr/local/bin/openssl
lrwxr-xr-x  1 greg  admin  46 Jun 27 15:23 /usr/local/bin/openssl -&gt; /usr/local/Cellar/openssl/1.0.2h_1/bin/openssl
$ /usr/local/Cellar/openssl/1.0.2h_1/bin/openssl version
OpenSSL 1.0.2h  3 May 2016


So it seems like I might have installed the upgraded openssl version but am I ready to do brew install python and it will get the right openssl version and let me use TLS 1.1?
(Is this even the right approach to get TLS 1.1 support for Python?)
solution to install from source and get around the homebrew error

brew install openssl


-> Warning: openssl-1.0.2j already installed, it's just not linked.

brew link openssl


->Warning: Refusing to link: openssl
Linking keg-only openssl means you may end up linking against the insecure,
deprecated system OpenSSL while using the headers from Homebrew's openssl.
Instead, pass the full include/library paths to your compiler e.g.:
  -I/usr/local/opt/openssl/include -L/usr/local/opt/openssl/lib

cd ~/scratch
git clone git@github.com:openssl/openssl.git
cd openssl
sudo mkdir /usr/local/ssl
sudo chmod 777 /usr/local/ssl
./config -I/usr/local/opt/openssl/include -L/usr/local/opt/openssl/lib
make
make test
make install


now, you will think you failed. but per OpenSSL not getting linked with homebrew on El Capitan 10.11.6
you have to close your terminal then reopen it
now 

openssl version -a


will show that you are using the new version.