The Hungary captain, normally a midfielder, has been a regular at fullback this season.
"It is important to me," Szoboszlai said. "It is something that, as a Liverpool player, we shouldn't be accepting to be in this situation. To draw at home? Sunderland have a great team, of course.
"But if we were in the same situation last year, there is no way we would lose points at home. That is what we are missing now. We have to get back to winning ways, but there is a lot of work to do. I try and we try our best every game. Sometimes it works and sometimes it doesn't.
"When you aren’t winning, the confidence goes down a little bit. But we are professional enough to get confidence from your own mind or from somebody else.
"We talk to each other and give each other confidence during the games and sessions. Once it clicks hopefully nobody can stop us."