Los Che have again been unable to find any consistency on the field this season and their task has not been helped by off-field matters, with coach Pako Ayestaran being sacked after just four games with them sat bottom of the table.
Prandelli was appointed as his replacement but despite some minor improvements, they have now failed to win any of their last five games.
Saturday’s 2-1 defeat at Sevilla left them two points clear of the relegation places but despite his side’s difficulties, the 59-year-old Italian is confident they can turn things around.
He said: “Still, football is our job, we’ll train tomorrow and we have another game coming up. It’s the only way to recover.
“We have to keep our heads up. We’ll only lose a few games playing like this. I’ve found positives. We were up to the task, I’ve told that to the players.”
Southampton have announced plans for a two-week tour of China as part of their pre-season preparations for the 2018-19 season.