I'd push on and finish the books sooner than later though. The internet, as it relates to Game of Thrones, is full of spoilers. Some are not done to harm, but even on these boards, you will find people discussing major events of the books, and the outcomes etc. But other forums, especially Youtube comments, are full of people posting purposful spoilers. I've even seen responses to youtube videos that list all the significant events of the book.
So, there are only very minor spoilers in the cards, but the more you check out forums, the more you open yourself up to spoilers.
The internet is dark and full of spoilers!