[Python] Paramiko, Python, Windows : How to connect to a remote computer and from there to a...

I've seen several questions and answers related to this topic but I've been unable to grasp the howto.

1. 
   What I'm able to do : connect to a remote computer using a Python script using Paramiko and return information, for instance, to ping a switch :
   
   
   
   ssh = pk.SSHClient()
   
   ssh.set_missing_host_key_policy(pk.AutoAddPolicy())
   
   ssh.connect('{}'.format(IP), port=xxx, username='xxx',password='xxx')
   
   stdin, stdout, stderr = \
   
   ssh.exec_command('ping -n 1 xxx.xxx.x.x\n')
   
   print('Ping switch: \n', stdout.readlines())
   ​
2. 
   What I would like to do but don't know how to : connect once to the computer and then using SSH (paramiko.SSHClient()) again connect to another device (in this case a NAS) and 'exec_command', something like :
   
   
   
   ssh = pk.SSHClient()
   
   ssh.set_missing_host_key_policy(pk.AutoAddPolicy())
   
   ssh.connect('{}'.format(IP), port=xxx, username='xxx',password='xxx') # connect to computer
   
   ssh.connect('{}'.format(IP), port=xxx, username='xxx',password='xxx') #connect to NAS from computer
   
   stdin, stdout, stderr = \
   
   ssh.exec_command('shutdown\n, y\n') # send command to NAS
   
   print('Ping switch: \n', stdout.readlines())
   ​

Is this possible, does anyone know a way?

Thank you in advance.

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