Dependency Injection in Static Class

I am writing Unit Tests for an existing codebase and am still getting speed.

There is a static class Logger, which is written this way (simplified):

public static class Logger
{
    public static void Log(string message)
    {
        var myService = new Service();
        myService.Save(message);
    }
}

      

        
        
        
      

    

I would like to be able to Mock (using Moq) the Service class so that I can check the result. But there is obviously no way to do this with a class as it exists. But I don't see how a service dependency can be injected into a static class so that it can be mocked. Is there a way to do this? Or was it not written as a static class?

This is different from this question because the service is not a static class.