Telling supervisor we need to wait before publishing
Most research is never finished - it can always be further improved. At some point you have to say &quot;this is enough to write about&quot;.
If it's not to do with your PhD then the chances are that you aren't going to go back and work on it more, so the choice isn't whether to do some more work on it, it's &quot;is this good enough to publish as is?&quot;
Of course we can't comment on whether your masters thesis is &quot;finished enough&quot; - but your supervisor is likely to have a better idea than you do.
I would recommend expressing your concerns to your supervisor and seeing what they say.