A sand control screen assembly (40) includes a base pipe (44) having a plurality of openings (45) in a sidewall portion thereof and a swellable material layer (46) disposed exteriorly of the base pipe (44) and having a plurality of openings (47) that correspond to the openings (45) of the base pipe (44). A plurality of telescoping perforations (48) are operably associated with the openings (45) of the base pipe (44) and at least partially disposed within the corresponding openings (47) of the swellable material layer (46). A filter medium (56) is disposed within each of the telescoping perforations (48). In operation, radial expansion of the swellable material layer (46), in response to contact with an activating fluid, causes the telescoping perforations (48) to radially outwardly extend.