Lambert faced Williams in Saturday's 0-0 draw.
He said: “I asked him going out of the tunnel, ‘Are you going to Liverpool or not mate?’ Ash wouldn’t tell me. He kept that one quiet.
“He is a great player who has done magnificently over the last few years. It is good to see him doing well.
“He is a great player and would be a great signing for Liverpool. But he is loved here as well.”
Is Williams the addition Liverpool need? Give us your shout below...