Courses with several deadlines

Hello everyone,

I am planning to apply to Oxford for graduate studies this year, and I am nearly ready to submit my application.

However, the course I am applying for has two different deadlines : the 23rd of January or the 13th of March. I was initially planning on applying by the January deadline, but having one more month to perfect my application would certainly be welcome.

So my question is : would it put my application at a disadvantage if I wait until the last deadline, in March ? Is there a chance that the course becomes full before the last deadline ?

I am aware that the deadline of many scholarships is in January, but my question is only related to the admission process in itself.

Oxford does not seem to be very specific about it (unlike the LSE for example, which advises to apply as early as possible).

Thank you all very much in advance.