The 24-year-old, the son of legendary former Eagles forward Ian Wright, will be out of contract next month and is likely to leave the cash-strapped League One club.
Plymouth have been linked with a move for Wright-Phillips but Warnock, who also hopes to land Freddie Sears on loan from West Ham, could be ready to step in.
"Bradley is one we have spoken about. He is on our list," said Warnock.
Despite being almost out of contract, Wright-Phillips still showed up at Saints' training ground for pre-season training tests this week.