"The Reading players have been expecting it for a while, we've been struggling all season," Williams told BBC Radio Five Live.
"Nigel Adkins will definitely be at the Madejski stadium next season, he has a three year contract. But it's never easy to bounce back from the Championship.
"If you look at the sides that came down from the Premier League last year, Wolves and Blackburn are struggling."
Reading have a current points total of 25 with three games left to play.