Hmmm...I'm not sure he moves the needle.
He's probably an upgrade on Francis, but Civale himself could get bumped out of a spot as soon as Scherzer or Turnbull are ready.
Now I wouldn't blame you for doubting the latter two, but I think it's probably worth giving them a shot. And there will be bigger fish available in about a month.
That said, if Civale costs almost nothing (including the Brewers eating most of his salary), then I think you could acquire him and give him two turns through the rotation. If he sucks then just cut him loose. But that would be a scenario where the Brewers pay everything but 1 mil of his remaining salary and we give them a 19 year old in return.