A well system includes an annular barrier separating the tubing-casing annulus into an upper annulus (23) and a lower annulus (25) and a barrier valve(12) coupled with the annular barrier, the barrier valve permitting one-way fluid communication from the upper annulus to the lower annulus. The annular barrier may include a female polished bore receptacle(48) integrated in the casing and a male seal assembly (50) integrated in the tubing. The tubing bore and an annular fluid conduit extend through the male seal assembly substantially parallel to one another and the barrier valve is connected in the annular fluid conduit.
