not to seem pedantic, they need to get your INR to be greater than 2 for release. INR is Ratio and so your INR needs to be over 1 (normal is by definition 1) ... so if your clotting time increases then it becomes your clotting time over normal (you know, that's a ratio right). So if your clotting time is 12 seconds and your clotting time is 16 seconds your INR will be 1.3inr within 1-2 but unsure how many days that'll be.
If you're up to reading stuff then maybe have a look at this lengthy blog post of mine

INR management - the Goldilocks Dose
Since getting a mechanical heart valve ( in Nov 2011 ) I have naturally had to deal with life on a drug called Warfarin . This is known vari...
the first couple of paragraphs is where you are now, the rest is more or less academic. Then this post for hints about managing yourself (for later)

Managing my INR (some practical tips observations and theories)
A patients perspective I've decided to put this page together because on looking around the internet I see heaps of rubbish, mis-informatio...
again, that post starts general and becomes more specific as people read on.
If nothing else it should help you feel drowsy ;-)