The phrase "convincing enough to" is correct and usable in written English.
It can be used when discussing whether something has sufficient persuasive power to achieve a particular outcome.
Example: "The evidence presented was convincing enough to sway the jury's decision."
Alternatives: "persuasive enough to" or "compelling enough to".
Question, though, is whether it was convincing enough to sway voters and the polls.
So far, though, those measures have not been convincing enough to restore investor confidence.
I don't think they are convincing enough to win the debate.
They're not funny enough to pass as comedy, or convincing enough to pass as action.
David Strathairn's twitchy version of Edward R. Murrow is convincing enough to give smoking a good name.
Morrison says he clearly hasn't been convincing enough to get Labor to move on asylum policy earlier.
The result is convincing enough to make you seasick and, in concert with the Fukushima image, to instill a sense of powerlessness in the face of the ocean.
Sayle's account of Harriet's transformation is exhilarating and convincing enough to make you wish you too were in a slightly masochistic relationship with an air-headed ninja.
Mr. Hewitt and Mr. Galvin have a difficult job — the story puts Jim through a trust-distrust cycle that begins to strain credulity — but they keep their relationship convincing enough to carry the action.
MOSCOW — A surprisingly strong finish in the Moscow mayoral race by Aleksei A. Navalny, the anti-Putin opposition leader, was convincing enough to assure him new credibility as a mainstream political contender.
Jack the Ripper, who was never caught, became an industry, whereas the solution "Zodiac" proposes is convincing enough to forestall a stream of books and films in which the Zodiac turns out to be Spiro Agnew, say, or Janis Joplin.
