I tried installing Tumbleweed on my Tualatin machine, but it fails to get to
repository with following error:

OpenSSL internal error, assertion failed: FATAL FIPS SELFTEST FAILURE

Tried booting with fips=0, it does not help.

I guess libssl wants something like SSE2, NX-bit or some other feature this old
CPU lacks. 
Is there some chance of working around that issue? I know you'll likely don't
want to bother with such an old hardware, but 'i586' in iso name
'openSUSE-Tumbleweed-NET-i586-Snapshot20180723-Media.iso' is a little bit
confusing.