The committee is set Tuesday to weigh the matter, which would name the intersection of Ludlow and Rivington streets after the hip hop group, which featured the intersection on the cover of its album "Paul's Boutique," the New York Post reported Sunday.
The idea was launched by LeRoy McCarthy, of Brooklyn, who created an online petition that collected more than a thousand signatures.
"They [City Council] are knowledgeable of hip hop, a lot of them were raised on hip hop -- at their Sweet Sixteen parties and bar mitzvahs -- so you don't have to explain to them who Biggie Smalls was. They don't necessarily have the preconceived negative approach to all hip hop," said Israel Horovitz, the father of Beastie Boys member Adam Horovitz.
"Any spot that's named for my kid is a good spot," he added.