The champions currently sit sixth on the Premier League table.
Van Dijk told Sky Sports: “I said it last week and I’ve said it here, criticism, with the season we’re having, is well deserved because of the way we have been playing at times and the way we have been losing games on the bounce.
"That’s just not the standards that we set, especially last year. But you have criticism, and you have disrespect."
On the barbs fired at Slot, Van Dijk added, “Well, it depends on what you feel. I’ve had the question last week as well. Do I think the disrespect is well-deserved? I feel like I don’t know, because I don’t read it all the time.
"We are in a process of things and I feel like it just takes time. I don’t think Liverpool, from what I know Liverpool as, is a club of making rash decisions and trusting the process.
"But I know how the world works and the pressure that managers are under and (how they) are held accountable and responsible for the results that we are getting. I still feel like it’s a process and he deserves, in my eyes, that respect and chance to make sure this process ends in a positive way. We just have to keep going."