Ndengane has joined the PSL newcomers after being released by Pirates earlier this month along with several other players.
According to a source close to TTM, former Chippa United striker Manzini is expected to arrive for an assessment this week with the view to signing.
"Rhulani Manzini is one of the players expected to start training with the club this week," the source tells snl24.com/kickoff. "Ndengane has also started training with the team after signing over the weekend."
Joel Masutha's side are set to welcome fellow top-flight newcomers TS Galaxy in their first DStv Premiership match in Limpopo this weekend.
TTM started their campaign in the PSL on a disappointing note after being beaten 3-2 by SuperSport United in the MTN8 quarter-finals at Thouyandou Stadium on Saturday.
Vhadau Vha Damani were embarrassed after pitching up with only 14 players for the game against Matsatsantsa due to registration issues.