The Black Cats slumped to an eight-goal defeat for the fourth time in their history, yet the fans' support of the players never waned throughout the demolition.
Over 2,500 Sunderland fans made the 700-mile trip to the South Coast, and the Italian goalkeeper feels that he and his teammates should cover their travel expenses.
"I will personally talk to the team to see if it is possible to pay for their tickets and their trip," the 26-year-old is quoted as saying by Sky Sports News.
"I really mean that we should pay their tickets and travel. I will do everything possible. We should do it because we didn't put a foot in, we didn't work hard. We started the game well but after we conceded we threw in the towel and I include myself.
"As I said they are special fans. We are really lucky to be at this club and have these fans. If it was me, I would probably not react in the same way."
Southampton joined Sheffield Wednesday, West Ham United and Watford as clubs to have beaten the North-East side 8-0.