He had not decided when to gift the medals, but said it would likely happen "sooner rather than later".
A keen senior sports' competitor, he was considering taking part in the World Masters' Games in Auckland next year.
That could be a good time to hand the medals over, he said.
Te Papa spokeswoman Kate Camp said they were "incredibly excited" at the prospect of adding Sir Peter's medals to their collection and looked forward to hearing from him.
They were yet to decide when and where Sir Peter's singlet would be displayed, but would "make a song and dance" when they did.
"We want people to know where to come."
Sir Peter also revealed America's Cup winning yachtie Sir Russell Coutts had expressed an interest in buying the singlet.
In an email to Sir Peter yesterday, Sir Russell said he hoped to win the auction.
"[The singlet represents] simply one of the most momentus moments in New Zealand sport," Sir Russell told Sir Peter in the email.
Sir Russell could not be contacted for comment.
However, Sir Peter said Sir Russell and Team New Zealand's winning 1995 America's Cup campaign was more important that his efforts on the Olympic stage.
"I think that was actually huge, huge, huge, and also very lucrative for the country."
Although he "couldn't believe" the singlet had sold for more than $120,000, he was pleased it would remain in New Zealand.
He also hoped the person selling the singlet would donate the proceeds to charity. He had initially given the singlet away many years ago to benefit charity, Sir Peter said.
The person who sold the singlet was not available for comment, but a relative handling the sale on his behalf told the Herald while no firm plans had been made "there are charities in mind" for the proceeds.