It looks like Bill Clinton is getting ready to hang up his saxophone next door to Carnegie Hall.

Clinton is close to inking a deal to lease the entire 56th floor of Carnegie Hall Tower, and real-estate sources say the government rent will help preserve the landmark music hall.

“The General Services Administration and the owner have to sign, and they have to go through various procedures. But that’s where he’s going,” said a real-estate source familiar with the deal.

The 8,300-square-foot office at 152 West 57th St. boasts beautiful views of Central Park and is believed to be worth $60 to $100 per square foot in rent, plus $3 or more per foot for electricity. That would put the annual rent at between $523,000 and $855,000.

“It’s unfinished. It will have to be built out,” said one source who has viewed the space.

That could add a one-time cost of $516,000 or more to the lease, depending on how much work is needed.

Carnegie Hall Tower was designed by noted architect Cesar Pelli, using earth-toned terra cotta to compliment the Renaissance Revival style of Carnegie Hall.

Tower tenants contribute indirectly to the preservation of Carnegie Hall, because the building sits on land owned by the music hall.

“The proceeds help Carnegie Hall, and it’s good karma all the way around,” said a source familiar with Clinton’s office search.

Kathy Sloane, the Clintons’ broker at Brown Harris Stevens, would not deny there’s a deal in the works. She helped them buy their house in Chappaqua.

The building’s security systems will please Clintons’ bodyguards: They’ll have key-card access to the elevators, which will help them screen visitors.

And the proximity to Carnegie Hall itself, where Clinton might play his sax from time to time, was a plus to the president.

“He’s friends with both Isaac Stern and Sandy Weill (Weill is the American Express chairman who heads the Carnegie Hall board) and, besides, he loves, music, any music,” said one excited friend.

For $2,500, Clinton could also become a patron of Carnegie Hall.

His name would be printed in every program, he could get help buying tickets through the Patron Desk, twice-a-year tickets to concerts, and an intimate dinner.