The government's response to the petition says that it needs another 80,000 signatures to be debated by parliament. This is true, but on the other hand it already has been [1]. The role of this petition has always been to show that there is significant interest in having Turing on the tenner, rather than to reach 100,000 signatures as such. But if it does get that far, I won't be complaining.
For what it's worth, the Bank of England will "certainly be looking at him". [2]
Full disclosure: I was the one who started this petition, back in March. (You might like to note that http://turingonthetenner.com redirects to the petition page.)