Millwall are currently six points adrift of Sheffield Wednesday in the League and nine points behind Derby County but with The Lions due to meet The Rams this Saturday, Williams is remaining hopeful.
"We're still in their fighting," said the youngster. "There are still points to be won. As long as it's still possible to stay up, we will keep trying.
"We can go to Derby on Saturday and win and then return to the Den and beat Plymouth.
"Consistency is the key. We can go to somewhere like Watford and win and yet lose at home to Brighton. It is difficult to put your finger on why."
And he is not alone in thinking that relegation can still be avoided. Midfielder Colin Cameron shares Williams' view.
"We have proved by winning at Watford that we can be resilient - we just have to do it again in our last few games," said Cameron, who is on loan from Wolves.
"Everyone was gutted about being beaten by Brighton but we have a game against Derby on Saturday and we are capable of beating them. That is all we have to think about."