diff --git a/dlls/d3dx9_36/math.c b/dlls/d3dx9_36/math.c
index 117bb848c88..78317e8a1d7 100644
--- a/dlls/d3dx9_36/math.c
+++ b/dlls/d3dx9_36/math.c
@@ -1809,17 +1809,22 @@ D3DXVECTOR3* WINAPI D3DXVec3Normalize(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv)
 D3DXVECTOR3* WINAPI D3DXVec3Project(D3DXVECTOR3 *pout, CONST D3DXVECTOR3 *pv, CONST D3DVIEWPORT9 *pviewport, CONST D3DXMATRIX *pprojection, CONST D3DXMATRIX *pview, CONST D3DXMATRIX *pworld)
 {
     D3DXMATRIX m;
-    D3DXVECTOR3 out;
 
     TRACE("(%p, %p, %p, %p, %p, %p)\n", pout, pv, pviewport, pprojection, pview, pworld);
 
-    D3DXMatrixMultiply(&m, pworld, pview);
-    D3DXMatrixMultiply(&m, &m, pprojection);
-    D3DXVec3TransformCoord(&out, pv, &m);
-    out.x = pviewport->X +  ( 1.0f + out.x ) * pviewport->Width / 2.0f;
-    out.y = pviewport->Y +  ( 1.0f - out.y ) * pviewport->Height / 2.0f;
-    out.z = pviewport->MinZ + out.z * ( pviewport->MaxZ - pviewport->MinZ );
-    *pout = out;
+    D3DXMatrixIdentity(&m);
+    if (pworld) D3DXMatrixMultiply(&m, &m, pworld);
+    if (pview) D3DXMatrixMultiply(&m, &m, pview);
+    if (pprojection) D3DXMatrixMultiply(&m, &m, pprojection);
+
+    D3DXVec3TransformCoord(pout, pv, &m);
+
+    if (pviewport)
+    {
+        pout->x = pviewport->X +  ( 1.0f + pout->x ) * pviewport->Width / 2.0f;
+        pout->y = pviewport->Y +  ( 1.0f - pout->y ) * pviewport->Height / 2.0f;
+        pout->z = pviewport->MinZ + pout->z * ( pviewport->MaxZ - pviewport->MinZ );
+    }
     return pout;
 }
 
diff --git a/dlls/d3dx9_36/tests/math.c b/dlls/d3dx9_36/tests/math.c
index 533c6d75994..9bcd42c100e 100644
--- a/dlls/d3dx9_36/tests/math.c
+++ b/dlls/d3dx9_36/tests/math.c
@@ -1331,12 +1331,6 @@ static void D3DXVector3Test(void)
     D3DXVec3Normalize(&gotvec,&nul);
     expect_vec3(expectedvec,gotvec);
 
-/*_______________D3DXVec3Project_________________________*/
-    expectedvec.x = 1135.721924f; expectedvec.y = 147.086914f; expectedvec.z = 0.153412f;
-    D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
-    D3DXVec3Project(&gotvec,&u,&viewport,&projection,&view,&world);
-    expect_vec3(expectedvec,gotvec);
-
 /*_______________D3DXVec3Scale____________________________*/
     expectedvec.x = -58.5f; expectedvec.y = -39.0f; expectedvec.z = -13.0f;
     D3DXVec3Scale(&gotvec,&u,scale);
@@ -1372,6 +1366,32 @@ static void D3DXVector3Test(void)
     D3DXVec3TransformNormal(&gotvec,&u,&mat);
     expect_vec3(expectedvec,gotvec);
 
+/*_______________D3DXVec3Project_________________________*/
+    expectedvec.x = 1135.721924f; expectedvec.y = 147.086914f; expectedvec.z = 0.153412f;
+    D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
+    D3DXVec3Project(&gotvec,&u,&viewport,&projection,&view,&world);
+    expect_vec3(expectedvec,gotvec);
+    /* World matrix can be omitted */
+    D3DXMatrixMultiply(&mat,&world,&view);
+    D3DXVec3Project(&gotvec,&u,&viewport,&projection,&mat,NULL);
+    expect_vec3(expectedvec,gotvec);
+    /* Projection matrix can be omitted */
+    D3DXMatrixMultiply(&mat,&view,&projection);
+    D3DXVec3Project(&gotvec,&u,&viewport,NULL,&mat,&world);
+    expect_vec3(expectedvec,gotvec);
+    /* View matrix can be omitted */
+    D3DXMatrixMultiply(&mat,&world,&view);
+    D3DXVec3Project(&gotvec,&u,&viewport,&projection,NULL,&mat);
+    expect_vec3(expectedvec,gotvec);
+    /* All matrices can be omitted */
+    expectedvec.x = 4010.000000f; expectedvec.y = -1695.000000f; expectedvec.z = 1.600000f;
+    D3DXVec3Project(&gotvec,&u,&viewport,NULL,NULL,NULL);
+    expect_vec3(expectedvec,gotvec);
+    /* Viewport can be omitted */
+    expectedvec.x = 1.814305f; expectedvec.y = 0.582097f; expectedvec.z = -0.066555f;
+    D3DXVec3Project(&gotvec,&u,NULL,&projection,&view,&world);
+    expect_vec3(expectedvec,gotvec);
+
 /*_______________D3DXVec3Unproject_________________________*/
     expectedvec.x = -2.913411f; expectedvec.y = 1.593215f; expectedvec.z = 0.380724f;
     D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);