Up to seven Millwall players are out of contract at the end of the season and they have yet to be offered new deals.
Millwall sit just one point above the drop zone after picking up only one win in 15 games and Berylson insists he will not consider awarding new deals until the team start winning.
"I am not moving on contracts," Berylson is quoted as saying in the South London Press.
"I am telling our squad they need to win some games before they ask for new contracts. Why should we be giving contracts to losers?
"They need to prove they are winners and then we will want them back next season. We do have good players."