Pienaar has been training with David Moyes’s side for the past two weeks as he tries to secure a contract with Sunderland.
Pirates administrative manager Floyd Mbele remains hopeful they can strike a deal to sign the 34-year-old.
“We’ve done all that we are supposed to. We’ve tabled an offer and we’re now waiting for him [Pienaar] to come back to us,” Mbele told Isolezwe.
“We are hopeful that he will come back to us before the start of the season. The fact that he’s training with Sunderland doesn’t worry us at all because our initial talks were very promising. It’s all up to him now.
“Negotiating contracts with top players like Pienaar takes a bit of time. It usually takes longer to reach an agreement because a player must consider a lot of things. Remember, Pienaar was playing abroad and that his family is still in Europe. Those are just some of the things he has to look into before taking a decision.”