However, despite the length of the ban, which will see Suarez miss 13 fixtures for Liverpool, Dalglish believes that his former side will keep faith with the forward, who scored 31 goals during the last campaign.
The Scot told The Mirror: "I think you will find that Liverpool will not turn their back on Suarez, whatever the ban that FIFA have decided he must serve. Of course, it will be a heavy blow if the club has to do without him for the opening months of the season.
"You can't really ask any one person why what happened against Italy happened, because there is only person who knows and that is Luis - some people have injuries you can't see.
"Sometimes, when people have something wrong with them, just because they don't have a plaster cast on their leg, people think they don't need help."
This week's incident is the third time that Suarez has been banned for biting an opponent.