Kim Kardashian HUGE Cop Presence So She Can Buy Presents

2/13/2014 6:41 AM PST

There seems to be a conflict in the Sheriff's Dept.  A Dept. rep told us earlier the officers were on duty, but we just got a call from the Capt. at the West Hollywood station who says the deputies were all off duty and hired by a production company.
update_grey_gray_barKim Kardashian and Ciara got as much law enforcement attention as Rodney King on Wednesday ... as they shopped for baby clothes.

Kim and Ciara were leaving Bel Bambini ... a high-end baby store on Robertson in L.A. -- as 5 (FIVE) L.A. County Sheriff's deputies flanked them as they made their way to their cars.

So the question -- What the hell? We called the Sheriff's department and they said they had no answer.

True enough ... there was a swarm of paparazzi -- but photogs are a fixture on Robertson and there's rarely a problem. They get what they want, and so do most of the celebs who shop there.