  We systematically examine the compactness of neutron stars as Tolman VII
solutions in scalar-tensor theory of gravity. As a result, when the coupling
constant is confined to values provided by astronomical observations we show
that the maximum compactness of neutron stars in general relativity is higher
than that in scalar-tensor gravity. In addition, we show that although
ultra-compact stars, with radius smaller than the Regge-Wheeler potential peak,
can exist in general relativity (e.g., Tolman VII solution), their scalarized
counterparts cannot {be constructed} even in the limiting case of uniform
density stars.
