requesting help with LinkedIn privacy (i.e. limiting work-history visibility to connections only)

I’m just getting my feet wet with LinkedIn over the last couple of months, and I just realized that my work history is visible to anyone with a LinkedIn account.

I’m pretty knowledgeable when it comes to Facebook privacy, and “locking down” anything you don’t want the general public (outside of your Friends) to see - is there a similar thing with LinkedIn?

I’ve tried Google, and I keep getting advice on how to keep my “public profile” out of general search engines. I addressed that, but that’s not actually my concern.

Short story long - I don’t want “connections of connections” (or just random members in general) to be able to see my entire work history - is that possible?

Thanks -