Nelson Mandela's coffin has been flown to his ancestral homeland of Qunu, where he will be buried in a largely private ceremony tomorrow.
Large crowds lined the road to say a final farewell as his hearse drove by. Members of his political party - the African National Congress - also paid their last respects to their long-term former leader earlier today.
Spokesman Mac Maharaj said the Nobel laureate, who has preached at the funerals of most anti-apartheid funerals, was welcome.
Certainly he is invited. He's an important person.
Mr Tutu's daughter, the Reverend Mpho Tutu, said in a statement that her father had not been accredited as a clergyman at Mr Mandela's funeral, to be held in Mr Mandela's home village of Qunu. Mr Maharaj said no credentials were needed.
The issue highlights occasional frictions between Mr Tutu and the current government of President Jacob Zuma.
Two years ago, Mr Tutu, slammed the ANC-led government as "disgraceful" for not issuing a visa to the Dalai Lama. He said it was worse than the country's former oppressive white regime.
The body of Nelson Mandela arrived on Saturday at his ancestral home in the rolling hills of South Africa's Eastern Cape and was greeted by singing, dancing locals ahead of the anti-apartheid leader's state funeral set for the following day.
As the hearse bearing the remains of South Africa's first black president appeared on the horizon, crowds by the road broke into "Nkosi Sikelel' iAfrika" (God Bless Africa), the evocative national anthem adopted after the end of apartheid in 1994.