That's odd...
My surplus #4 has a barrel that slugs out at exactly .311, and has a war-time tube on it (not matching, but it's war-time production. I will admit I got extremely lucky). However, It still shoots the "oversize" slugs just fine, I just load down 10% and work up again. I write these loads down and keep them separate from the other .303 loads.
Lately, however, my .313-.314" bullets are being used for my Mosin (my luck ran out with this one, it has a .314" bore).