Lunds & Byerlys has sent a notice to customers asking that only the people buying groceries be in the store.
The Twin Cities chain also said it would limit the number of people in its stores if necessary during the Easter and Passover holiday weekend to curb the spread of the coronavirus.
The moves are among many by supermarkets, ethnic groceries and big-box stores to protect both employees and shoppers.
Many are now making some aisles one-way to reduce congestion and further encourage social distancing. Protective shields have been added for cashiers, customer-service desk employees and baggers.
Lunds & Byerlys on Wednesday announced several new changes.
"These decisions are grounded in current guidance from health authorities and our commitment to providing you a safe and welcoming environment," the company said in a statement.
Target also said it was monitoring traffic in stores and would limit customers if necessary. Some Trader Joe's have been doing that for weeks.
Last week, Hy-Vee added one-way aisle traffic and one-person-per-cart guidelines. This week it started to provide employees with masks, but employees were able to provide their own previously.