We consider higher-dimensional massive Brans-Dicke theory with Ricci-flat internal space . The background model is perturbed by a massive gravitating source which is pressureless in the external ( our space ) but has an arbitrary equation-of-state parameter \Omega in the internal space . We obtain the exact solution of the system of linearized equations for the perturbations of the metric coefficients and scalar field . For a massless scalar field , relying on the fine-tuning between the Brans-Dicke parameter \omega and \Omega , we demonstrate that ( i ) the model does not contradict gravitational tests relevant to the parameterized post-Newtonian parameter \gamma , and ( ii ) the scalar field is not ghost in the case of nonzero | \Omega| \sim O ( 1 ) along with the natural value | \omega| \sim O ( 1 ) . In the general case of a massive scalar field , the metric coefficients acquire the Yukawa correction terms , where the Yukawa mass scale m is defined by the mass of the scalar field . For the natural value \omega \sim O ( 1 ) , the inverse-square-law experiments impose the following restriction on the lower bound of the mass : m \gtrsim 10 ^ { -11 } GeV . The experimental constraints on \gamma requires that \Omega must be extremely close to -1 / 2 .