Lawro says his ex-teammate deserves more time at Anfield.
He told BBC Radio 5 Live: "I think one or two people are (mentioning him being sacked), because as a manager in the Premier League it's a crisis if you lose a couple of games.
"They have Villa at home at the weekend and I hate saying it's a must-win, but it is. We live in an instant media world, but I think the Liverpool owners are in it for the end game. I think he (Dalglish) will be fine, but at any level, you have to win games. I really don't believe he will be sacked."