SSHing into an IP restricted server via another machine

Hi,
Apologies if this belongs in the beginner area.
So.. The server I need to log into only allows logins from certain IP addresses. One of those IP's is my home computer, I can easily ssh into my home computer from elsewhere, and would then try to login to my work computer from there, but it seems to retain my original IP address, which is not an authorized IP, even though I'm going through my home computer which IS an authorized IP. Is there a way around this? I don't have root on the work server, I'm hoping I can accomplish this with just my laptop and home computer. ...Or is it just not possible?

Thanks in advance for any advice.

What, exactly, are you doing? Your plan ought to work, it shouldn't "retain the IP address" when you're logging into another computer.