How do I source another process's environment variables?

If I examine /proc/1/environ I can see a null-byte-delimited string of process 1's environment variables. I'd like to bring these variables into my current environment. Is there an easy way to do this? The proc man page gives me a snippet which helps be print out each environment variable on a line-by-line basis (cat /proc/1/environ; echo) | tr '\000' '\n'. This helps me verify the contents are correct, but what I really need to do is source these variables into my current bash session. How do I do that?