This is one of the most frequent questions I see, but my standard answer is: "A few weeks to many, many months. Possibly never."
The reason why there is not a set answer is it depends on many factors. The biggest, and most variable, are the dynamics within the tank. Wrasses natural transition as the environment requires, so if there is another fish with is very dominant over a juvi wrasse, this could delay the process a long time (or completely prevent it, in the extreme). Of course, the initial age of the juvi wrasse also matters, and is another variable in the question. And lastly, the genus matters too. Cirrhilabrus and Paracheilinus transition more readily, but the above variables still apply.