Boost variant visitor with an extra parameter

I have code that resembles below.

typedef uint32_t IntType;
typedef IntType IntValue;
typedef boost::variant<IntValue, std::string>  MsgValue;

MsgValue v;

Instead of sayng this,

IntValue value = boost::apply_visitor(d_string_int_visitor(), v);

I would like to pass an extra parameter like this: But operator() gives a compile error.

IntValue value = boost::apply_visitor(d_string_int_visitor(), v, anotherStr);

class d_string_int_visitor : public boost::static_visitor<IntType>
{
public:
    inline IntType operator()(IntType i) const
    {
        return i;
    }

    inline IntValue operator()(const std::string& str) const noexcept
    {
        // code in here
    }

    //I want this, but 
   inline IntValue operator()(const std::string& str, const std::string s) const noexcept
    {
        // code in here
    }
};