What should I do-Want to apply for an Internal Position?

This is the situation:

I am currently working at an entry level administration position.

We have an internal opening in the IT Department. The supervisor who makes the final decision regarding the hiring came up to me and told me that I should apply for the postion. I then said, if I do, would you hire me? And he said yes.

To be honest I did not think about applying for the postiion until he approached me.

Now the actual procedure for applying for the position is you have to send the Human Resources an application. Then you would be scheduled for testing. Then there would be a 1st interview with the HR and then a second interview with the hiring supervisor.

The HR knows that the hiring supervisor approached me and asked me to apply.

Now the problem is that I submitted my application. Now I am just waiting to be scheduled in for testing. The HR said that he would book me in for testing this week but I am also going on vacation as of Thursday. I did not hear anything from the HR today about when the test would be. I have to know in advance so I can shift my schedule around because the testing will take a good 1-2 hours.

So my question is, why is my HR delaying the testing and not getting back to me? Should I ask the HR?

Thanks!