"It's the last chance for the public to voice their opinions," said Jody Carman, spokeswoman for the department.
Planned to take place from 3 to 5 p.m. at the Farmington Civic Center, this meeting marks the second public discussion for the shelter.
"They've been taking ideas and have been putting them together to best serve the community," Carman said of the planning. "We're looking for more of a public impact."
Jeff Bowman, Parks, Recreation and Cultural Affairs director, said by the end of Tuesday the planning would be 95 percent complete.
Construction of the new shelter should begin by September or October.
The new facility will be around 15,000 square feet with a $3.5 million price tag, Bowman said. Construction could take 10 months to a year to complete.
"We're hoping this shelter will be enough to not have to increase it later," Bowman said of the size.
Taxpayers' money is what is funding the project. Bowman said people should know where their money is going.
"It's to tell the public where we are," Bowman said of the meeting. "We're moving on quickly."
Carman encouraged attendance and said the meeting would be "interesting to the public".
The meeting will incorporate public input into a final plan that will be presented at the city council meeting following at 7 p.m. Tuesday. An architectural design team from BDA Architecture in Albuquerque also will present its designs.