Not quite the same as this:
How do I Inject Dependencies with Ninject, where instances are deserialised from json
Where the answer is that your data class that you deserialized shouldn't need a service anyway. Is there a way to use dependency inject with a class derived from JsonConverter? For example, if you had this:
[JsonConverter(typeof(MyCustomConverter))]
public class Foo
{
    public string SomeProp { get; set; }
}
And:
public class MyCustomConverter : JsonConverter
{
    private readonly IMyService myService;
    public MyCustomConverter(IMyService _myService)
    {
        myService = _myService;
    }
    public override object ReadJson(JsonReader reader, Type objectType, object existingValue, JsonSerializer serializer)
    {
        var bar = myService.SomeFunctionThatMightEffectDeserialization();
        //...
    }
}
Is there anyway to hook into how JSON.Net instantiates MyCustomConverter to get it to let Ninject do it's thing?
EDIT This is NOT injecting a service into Foo like the suggested dupe. This is injecting only into MyCustomConverter so that it can then deserialize Foo.