The Wales international has been the first-choice left-back at the Liberty Stadium for the past two seasons and new Spurs head coach Mauricio Pochettino to keen to make him his first signing at White Hart Lane.
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"It is down to Ben what he wants to do," Williams told the South Wales Evening Post. "I have not had the chance to chat with him, but obviously I am close to Ben, we have played a lot together and get on well.
"I have seen him grow, we know he is a mature, sensible lad and he will do what is best for him. I will try to advise him, but I would not tell him to stay because I want him to stay.
"That might not be best for him. I don't know what he is thinking, I would like to have that conversation with him.
"Obviously we want our best players and I would be over the moon if he were to decide to stay. If he feels he needs to go and the club think it is right then that is how it will go."
Williams, who captains Davies at both club and international level, has conceded his defensive colleague would fit in well at White Hart Lane.
"Tottenham are a big club, they are not a small team, and if he wants that then brilliant, and I would back him all the way," he continued.
"He would fit in well there without doubt. If he does not go now and we don't make it to the top then he will leave at some point because he deserves to be at the top of the league. We will see how it pans out."