The district in late 2012 approved a plan to demolish the building and construct a monument to honor Chinese workers who had lived there in the early 20th Century.
Cultural and historic preservationists as well as some city residents said preserving the building would better honor the memory of the early Chinese settlers.
Chinese Historical Society of Southern California Vice President Eugene Moy has communicated his groups concerns to the water district, which agreed to request an extenstion, said Jo Lynne Russo-Pereyra, assistant general manager of the water district.
"We did speak with Mr. Moy and after a good discussion, we suggested we could contact the city and ask for a 60-day extension," said Jo Lynne Russo-Pereyra, an assistant general manager of the water district.
"We wanted to give him some opportunity to come up with something. He has a lot of good ideas. The one thing we've asked him is to come back to us with some type of plan for resources.
"It seems there are a lot of people from a lot of different organizations ... and at least come up with some type of proposal or some type of resolution."
The building on the southwest corner of Klusman Avenue and San Bernardino Road is the last remnant of a once-thriving Chinatown in the Cucamonga Valley and represents the last structure of a Chinatown anywhere in the Inland Empire, according to leaders of the Chinese American heritage groups.
Even if the extension is granted, it is still unclear as to whether the groups will be able to obtain money or sponsorship to stabilize or renovate the building.
"There's money out there, so we can find it and we can help you find it," Moy said.
"We ask that the city take the lead in starting a preservation process to work with the water district and the community."
Water engineers and city building inspectors have determined that the building is unsafe.
After a review by the city, the district was ordered to demolish the building within a 60-day abatement period ending Feb. 14.
While the city's historic preservation code protects old homes from demolition, buildings deemed unsafe are exempt from such protection, officials said.
Supporters of the China House said the Chinese workers who lived in the home and area Chinatowns contributed to the development and economy of the Inland Empire.