It would be the company's second store in New Mexico. The state's only Sportsman's Warehouse is in Albuquerque, according to the company's website.
Sportsman's Warehouse Inc., based in Midvale, Utah, sells outdoor-oriented sporting goods, including camping, hunting and fishing equipment.
City building officials are reviewing the proposal and have sent comments to the company. The proposed site already is zoned for retail stores, said Leo Hardie, the city's chief building inspector.
"Once they address the comments we sent to them, we should be able to issue the permit," Hardie said.
As proposed, the building would be 31,532 square feet.
Sportsman's Warehouse Inc. filed for bankruptcy protection in 2009. According to published reports, the company recently has reopened some of the stores that were closed.
A company spokeswoman did not return messages seeking comment Monday.
The Sportsman's Warehouse proposal comes on the heels of another major new Farmington store. Tractor Supply Co. has a retail location under construction at 141 S. Browning Parkway that will employ 12 to 17 full- and part-time employees, the company said.
Tractor Supply is tentatively set to open in early November.
"Tractor Supply looks forward to being a member of the Farmington community," District Manager Dusty Pate said in a prepared statement. "Farmington is a great fit due to the part-time and hobby farmers, and horse owners in the area."
In another local retail opening, Animas Valley Mall is welcoming a new children's clothing store, The Children's Place. The store opened Saturday. An open house event is set for Aug. 25.
The retail openings are a good sign for Farmington, said Dorothy Nobis, president and CEO of the Farmington Chamber of Commerce.
"It shows that the economy is bouncing back, and our portion of the Four Corners is being recognized as a viable retail market," Nobis said.
Farmington's population of 45,877 grows with shoppers from around the area, she said.
"I get very excited about it because I think some of the big chain and big-box stores are recognizing the fact that Farmington indeed is the retail hub of the Four Corners," she said. "We're worthy of their presence in our market."
Nobis said she welcomes the chain stores, but she also urged shoppers not to forget locally owned shops.
Mary Holton, director of community development for the city of Farmington, agreed that the activity is a good sign.
"Things are looking up," she said.