Reports Tuesday morning suggested the fire has now affected more than 3,000 hectares of the federally protected reserve – nearly one-tenth its total size.
The blaze is the largest in the forest since May 2005.
The Primavera sits on the western outskirts of the Guadalajara metropolitan area and is often referred to as the city's "lung," for the moderating effect it has on the climate.
Firefighters have formed seven fronts to tackle the blaze, which is two-thirds controlled, according to state authorities.
Nonetheless, the huge plume of smoke caused by the fire is visible from many parts of Guadalajara. Although the blaze has yet to reach built-up areas, on Tuesday it was less than a mile from the Pinar de la Venta neighborhood on the Nogales highway.
Strong winds meant that the blaze was not brought under control by midday Monday, as Susana Mendoza, the National Forestry Commission (Conafor) delegate in Jalisco, had predicted in a press conference.
At least five helicopters are being used to drop water on the flames. However, dense smoke curtailed the flights Monday afternoon. Alvaro Garcia Chavez, secretary of the Jalisco Social Development Agency (Sedesol), said a "water bomber" from the United States should also be arriving on Tuesday to help fight the fire, along with one other plane.
Four firefighters have been treated for smoke inhalation.
Although Environment Department (Semades) officials said metro-area air quality had not been affected by the blaze, ten schools in Venta de Astillero, La Primavera, El Bajio, Tala and El Mante suspended classes Monday.
Personnel from the State Health Department (Ssj) and Zapopan city hall distributed 8,000 face masks in neighborhoods near the blaze on Sunday and Monday.
Staff responsible for caring for the varied species of wildlife in the forest say they have been busy trying to assist animals that have become disoriented by the fire.
Donations for the firefighters are still required. Food and water is no longer needed but face masks, AA and AAA batteries, torches, lanterns, eye drops anti-bacterial gel and masking tape are welcome. The donations can be dropped off at the Oxxo stores at Mariano Otero and Periferico, and at Ruben Dario and Providencia
Those interested may also join the Facebook group "S.O.S. Nuestro bosque nos necesita. Ayudamos!"
Already groups have surfaced on social media sites preparing reforestation programs in the Primavera for later in the year.