Partial mocking with MockingKernel for an abstract class?

Question

I have an abstract class with a dependency which I would like to unit test:

public abstract class BaseClass
{
   public BaseClass(IDependency dep) { ... }
   public virtual void TestMethod() { ... }
   ...
}

I want to test this class using NInject's MockingKernel, so I drummed up the following:

using (var k = new MoqMockingKernel())
{
   k.Bind<IDependency>().ToMock();
   k.Bind<BaseClass>().ToMock();
   k.GetMock<BaseClass>().CallBase = true;

   var sut = k.Get<BaseClass>();
   sut.TestMethod();

   k.GetMock<BaseClass>().Verify(...);
}

but I'm running into a problem. It's looking for a parameterless constructor to create the partial BaseClass mock rather than passing the mocked IDependency in.

Looking at the source, it appears MockingKernel will never pass arguments to a mock at creation time.

Is there any way to create a partial mock with MockingKernel?