The 27-year-old is a free agent after parting ways with Egyptian side Wadi Degla SC.
According to a source, Afum is due to touch base with the Students this week.
"He is a quality striker. He is not coming here for trials but an assessment because he is a high-profile player," says the source.
"The club wants to see if he could fit in their style and adjust to the environment before they could sign him."
Wits recently added Denis Weidlich, Edwin Gyimah, Lehlohonolo Majoro and Keegan Ritchie to their roster.
Meanwhile, midfielder Xola Mlambo is still training with the relegation-threatened champions amid speculation he could join Orlando Pirates.