Warnock, who today began his last week’s holiday before the start of the new season, is on the trail of Norris and Varney again after last week’s acquisition of Norwich City left-back Adam Drury and Derby County midfielder Paul Green.
He is believed to have re-stated his interest in the last few days but Championship rivals Sheffield Wednesday are also chasing Norris.
The 31-year-old midfielder is thought to have spoken with the Owls last Wednesday and Portsmouth are actively working to sell him as their battle to exit administration goes on.
Norris – a player with more than 400 competitive appearances behind him – was linked with a switch Leeds to last summer, prior to his switch from Ipswich Town to Fratton Park, but his career with Portsmouth will end after only one full season on the south coast.
Varney, 29, is also preparing to cut his ties with Pompey less than 12 months after joining them from Derby County. The former Crewe Alexandra striker, who scored six times last term, took up an offer from Pompey in July 2011 after completing a season in the Premier League while on loan at Blackpool.