I wonder how much closer. Certainly not the billion/multi-billion dollar range of the NFL/NBA/MLB contracts. I know NBC paid 250M for Premier League rights in the U.S. If WWE got that much from someone, I would be impressed. That would also be a significant increase.
If I had to guess, I think they will max out around 150M for TV rights. The stigma about the intelligence and income level of wrestling fans still probably exists to advertisers no matter how much WWE pushes that they are marketing to middle-income families.
They made $168.4M in 2013 (source:http://www.voicesofwrestling.com/2013/12/10/can-we-predict-wwe-tv-rights-fees-for-2015/), so $250M is more likely considering they get better ratings than Premier League does.