Hoddle said: "I can't express how disappointed I am. There was not enough fire in our belly and we did not pass the ball around in the manner I know we can.
"We cannot get away from the fact that we were beaten by the better team. We did not deserve anything from that performance and we must bounce back as soon as possible.
"But first we must reflect on the result and I can tell you that in the dressing room there are a lot of very upset players.
"There is no doubt we have let our fans down and I can offer no excuses. This has happened only twice this season, at home to Middlesbrough where we lost 3-0 and then again tonight.
"We must make sure that when we play Everton at home next weekend we have got this result out of our system but the fact is we have been beaten here twice in four days and we have to look in the mirror and admit we did not perform to our true capabilities.
"I am feeling sick at the moment because I know we can do better.
"I tried to change things at half-time and bring on substitutes who I hoped might turn it around because at that stage we were only one goal behind but it did not improve.
"Over 90 minutes we deserved nothing and we must fight against it rather than feel sorry for ourselves.
"Losing to Southampton again has got to hurt us as a club. We wanted a good run in the FA Cup and it is not going to happen.
"In our previous two matches in the league, against Newcastle and Southampton, I felt we were unlucky not to get at least a point from each game but in this cup game we have no such consolation. We were poor and that is all there is to be said about it."