Manchester City manager Roberto Mancini will leave it to Benjani to decide whether he wants to leave Eastlands.
Benjani has been linked with a move to Sunderland and could be the second striker to move on from City in a matter of days. Robinho sealed a loan move to Santos in his native Brazil on Thursday.
On Benjani, Mancini said: "I spoke with him two days ago and he told me he had a possibility to go and play.
Even though Roque Santa Cruz remains absent with a calf injury, the former Inter Milan boss believes he has enough cover to cope.
He added: "We have a lot of strikers but he it is up to him to decide. If he wants to stay here I will be happy. He is a good player and a good man."
Mancini insists Robinho still has a future in Manchester beyond his loan spell in his homeland.
"I spoke with him and said if you want to stay here I will be happy," he said. "But if you want to go to Brazil, you can go.
"He said 'Okay I will go back to Brazil for six months because the World Cup is coming'.
"But after the World Cup I think he can make it here. He will come back here because for me, he is a fantastic player and he has a good talent.
"He can go back to Brazil, stay with his family and play in every game for Santos. That is important to him and I understand that."
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