How much closer out of interest? I need to book flights and a hotel as well which makes leaving it till late a bit awkward.
I was able to get a pair of tickets to the United game on the Wednesday before - just depends how dedicated you are to checking the site (and how many tickets you want!). Singles pop up laods.
When this game inevitably gets rearranged for TV i'm sure a few will pop up in the days after that, but generally its definitely possible if you're persistent with checking the site.