Richard Sherman's Family -- We Love Nate Robinson ... Hope He Makes the Seahawks! (VIDEO)

Richard Sherman's family is awesome!

We got the NFL star's mom, Beverly, and his brother, Branton, out in L.A. -- where his mother is trying to launch her acting career ... and they couldn't have been nicer.

Turns out, they're really big fans of NBA star Nate Robinson -- a Seattle native -- and hope his tryout with the Seahawks went well.

As we previously reported, Nate -- who played college football at the Univ. of Washington -- worked out with the team and is hoping to land a spot as a defensive back.

"He'll be a good addition to the L.O.B." Branton said.