Is there a minimum amount of months I need to work for a company I'm fed up with so it doesn't look too bad on my resume when I finally quit?

I swear I keep thinking of quitting more and more every passing week.

Nope, but if there's 2 or more short stints that aren't contractor roles, it'll start to raise concerns.

If you've been in the role for a few weeks, just omit it. But if it's a few months then it may be easier to add it then to explain why you were unemployed for so long.

It gets easier to explain when you are over the 6 months hurdle.
Problem is that I usually get fed up by the 3rd month, when shit starts seeping through.

@C0D4 It is contractor work, but I want to quit the parent company. I don't want to wait for them to "graciously" reassign me somewhere else (that could be equally bad).
@Benutzername I'm just about to cross the 3 months threshold.

If less than 3 months don't put it in the CV...
If anyone asks about the time difference, say you did some temporary work or limited contract :p