The right back is nearing the end of his loan spell after 3 months with the Bluebirds.
Lennie is keen to keep Williams at Ninian Park and hopes to sort out a deal for him this week.
Rhys Weston is standing by (if Williams doesn't sign) , but we hope we can complete Darren's signing this week," Lawrence told the Echo.
Lennie is hoping to have Williams, and a new midfielder available for Saturday.
