Some supporters have gone as far as threatening to boycott matches following the club's disastrous start to the season.
But with Brazilians going through a rough patch, the duo feel this is the time for the fans to show their true support for the club.
"All I want to say to our fans is that they must support the team at all times. It is not an easy situation that we find ourselves in and this is the moment when we need most.
"It is about time for our fans to rally behind us. As players we are always motivated because we have our families, friends, technical team and management, but we need our fans when we go out to the field," Laffor told Football411.
A number of Sundowns fans were arrested early in October following ugly scenes at the Dobsonville Stadium when the team lost 2-0 to Moroka Swallows, and Sandilands added that throwing missiles won't change anything.
"The players don't enjoy where we are at the moment, but we are not there on purpose. Fans must be there when we win and when we lose," the Bafana Bafana goalkeeper told this site.
"There is no use being a fan if you are in it just for the win, while there are three possibilities in a match. They must come to the stadium to support us, that's what supporters are there for and they are not there to throw missiles.
"They shouldn't be there to show disgruntlement. They must know the players are working hard to change the situation," Sandilands concluded.
Sundowns travel to Durban to face AmaZulu on Saturday in the Telkom Knockout quarter-finals.