Hash of concatenated values (one public, one private)

assume two end-points $A, B$. $A$ sends to $B$ a $Hash(pv||key)$, where $pv$ is a public value that can be intercepted by attackers. The $key$ is a common secure shared key in both end-points,and $||$ denotes concatenation. Obviously, end-point $B$ has all the info required to check the received hash. I was wondering though, if in this particular setup there is some security risk due to the concatenation of a public value with a private key. $pv$ is always 48-bits.