From 24 feb 1943 all pol rgt were renamed SS-Polizeiregiment. this assimilation into the SS was only at unit level. Individual police members didn't automatically become members of the SS.
They have to apply to join SS.
by decree of 29 march 1943, Police regiments numbered 31 and above were renamed "SS-Polizei Schutzen Regiment " because of their mix staff (german and foreign volunteers)
(The Uniformed Police Forces of the Third Reich page 259 by Phil Nix & Georges Jerome)