The 29-year-old Great Britain and Wales forward has spent the weekend considering a move to Wilderspool after being told by the champions, Wigan, he can leave. Warrington want a decision as soon as possible from Skerrett, who would be available on a free transfer.
Alex Murphy, Warrington's football executive, said: "We have spoken to Kelvin and we have told him we would like a decision for Monday."
The Australian centre Paul McGregor will miss next month's first State of Origin match between New South Wales and Queensland after breaking his arm during Illawarra's 56-14 trouncing of South Sydney yesterday.
The win was the first for Illawarra in four rounds of the Australian Rugby League premiership race but their joy was tempered by the news that McGregor would be out for at least six weeks. McGregor became the third senior Illawarra player to suffer a broken arm this year and he joins Neil Piccinelli and Kyle White on the sidelines.
The Illawarra half-back Glen Air celebrated his recall to the senior side by scoring three tries and setting up four others in a 10-try blitz of last-placed South Sydney.
Canberra, once ARL heavyweights, also scored an emphatic first win of the season, 66-10 over North Queensland. Centre Ruben Wiki scored four of his side's 12 tries.
Canberra's coach, Tim Sheens, who will leave the club to coach North Queensland next year, told reporters his side had been spurred into action by last week's surprise loss to Parramatta and the season-ending knee injury suffered by former Australia half-back Ricky Stuart.
"We were game to beat anybody today," he said.