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After Nik Wallenda finished walking a 2-inch thick steel cable across the Arizona's Little Colorado River Gorge near the Grand Canyon Sunday, he told reporters his next feat was to walk a tightrope between New York's Empire State Building on Fifth Avenue and the Chrysler Building on Lexington Avenue. But the New York City Police Department might squelch those plans.

New York Police Commissioner Raymond Kelly dismissed the idea at a press conference this morning, The Associated Press reported, citing the high possibility of danger to pedestrians if Wallenda were to fall.

The New York City Mayor's Office referred all comments about the matter to the New York City Police Department. The New York Police Department has not issued an official statement as of Monday evening.

Alyse Vellturo, who works for Wallenda's management company DSW Entertainment, told ABCNews.com this newest plan was only in its beginning stages and nothing had been confirmed.

The distance between the two buildings is approximately eight-tenths of a mile, according to Google Maps. Wallenda walked 1,400 feet across the Grand Canyon, which is roughly equivalent to two-tenths of a mile, Reuters reported.

For more on the famous tightrope walker, see photos of Wallenda's feat.

Wallenda, according to his website, became the first person to cross Niagara Falls on a 2-inch tightrope, a feat he completed in June 2012. Wallenda's family has its share of daredevils: Wallenda is a seventh-generation member of the "Flying Wallendas," who have been performing high-wire acts without safety nets for decades.