Selma Blair is mixing fun bags with shopping bags -- the former "Anger Management" star was unabashedly breastfeeding in plain sight at one of the biggest shopping spots in L.A. like it was no big deal.

Blair was spotted at The Grove with her 2-year-old son ... pumping the kid full of breast milk on a trolley, surrounded by shoppers.

The move is interesting ... considering earlier this week, a Chick-fil-A in Tennessee came under fire when an employee asked a mother to stop nursing her 5-month-old kid where other people could see. The move is interesting ... considering earlier this week, a Chick-fil-A in Tennessee came under fire when an employee asked a mother to stop nursing her 5-month-old kid where other people could see.