Chenene is a free agent, having parted ways with SuperSport United in July.
The 31-year-old is due to arrive in Port Elizabeth today for an assessment, according to a source close to the Chilli Boys.
"Chippa United have agreed to give 'Benito' [Chenene] a chance," says the source.
"He will be here for a few days for an assessment. The team will make a decision over the next few days whether to sign him or not."
United recently signed ex-Moroka Swallows playmaker Lerato Chabangu, who made his debut in Saturday's Telkom Knockout last-16 defeat to Mamelodi Sundowns.