MSMQ : Cursor and Priority

Question

Here is the code to enumerate the messages.

MessageQueue  queue = // ... some local private queue
Cursor cursor = queue.CreateCursor();

Message msg = queue.Peek(timeout, cursor, PeekAction.Current);
while( msg != null )
{
  // ... process
  msg = queue.Peek(timeout, cursor, PeekAction.Next);
}

Suppose I have 100 HIGH priority messages and 10000 LOW priority messages in the queue.

So it would peek the messages in following order.

HIGH #1 HIGH #2 HIGH #3 ... HIGH #99 HIGH #100 LOW #101 LOW #102 ... LOW #10000

Now suppose the code starts to run, it first handled the 100 HIGH priority messages then starts to handles the low priority messages.

At some point it peeked up a LOW priority as below.

LOW #8243 <-- cursor is here now LOW #8244 ... LOW #10000

Now a new HIGH priority message arrived in the queue.

My question is:

Will the HIGH priority message be peeked up immediately for the next call to queue.Peek(timeout, cursor, PeekAction.Current) ?