Mawejje, a midfielder, arrived in South Africa at the beginning of the year and has impressed Muhsin Ertugral, who has recommended that Mato Madlala sign him.
"He has done well and we are on the verge of signing him," Ertugral tells KickOff.com.
The coach says he is looking at a number of players at the moment, including Clifford Ngobeni, who he is very keen to sign.
"I have got other youngsters training in the team, who I want to use to build the team for next season.
"[Ngobeni] underwent a medical this morning and I am hoping for the best results.
"He was the main player while still at Ajax and even won the Rookie of the Season award [in 2007]. He is one of the best players in South Africa and it's sad not seeing him playing."
Orlando Pirates confirmed the signing of Njabulo Manqana from Golden Arrows today, while Siphelele Mthembu is close to putting pen to paper for Arrows.