Let R R be a commutative noetherian local ring with identity. Modules over R R will be assumed to be finitely generated and unitary. A nonzero R R -module M M is said to be a strong test module for projectivity if the condition Ext R 1 ⁡ ( P , M ) = ( 0 ) \operatorname {Ext}_R^1(P,M) = (0) , for an arbitrary module P P , implies that P P is projective. This definition is due to Mark Ramras [5]. He proves that a necessary condition for M M to be a strong test module is that depth M ⩽ 1 M \leqslant 1 . This is also easy to see. In this note it is proved that, over a regular local ring, this condition is also sufficient for M M to qualify as a strong test module.