Speaking to the Daily Mirror, Eriksson, who met with Mourinho on several occasions during his time as England boss, was quick to back the Portuguese coach.
Eriksson said: "Jose Mourinho's situation is a surprise, because they won with style the Premier League last season.
"Nobody expected them to be three points from the relegation area. Football is strange, there is no logic sometimes. Mourinho can turn it round — the season is long.
"I have seen it before when successful coaches with years in football have had bad surprises. The only way is to stick together. If you don't do that then it's finished. You are finished. The club must stick together and I say stick together for not only the players. It is the players, yes, but the staff, the club itself, the owner, must all be together.
"When it starts to be too many discussions and too many rumours, then it is very difficult to turn it round. But if everyone sticks together you can do it, of course you can."