Speaking after the frustrating defeat at St Mary's, John lamented a second defeat in four days where the team displayed such a positive approach in trying to win the game.
"I'm only disappointed because we have lost two games on the trot," he commented. "We've played on heavy pitches away from home and done well but have come out with nothing.
"Beattie, to his credit, scored a wonderful goal and is a man in form. He had two chances in the game and we've kept him quiet - but he ended up scoring the winner."
Beattie's goal eight minutes from time was something of a counter punch from Southampton following the introduction of both Gus Poyet and Darren Anderton as Glenn sought to step up the pressure on the home goal.
"It was against the run of play because we were looking for our goal and threw on two players to try and do that. That's two games now we've gone for the win and been punished.
"To be fair, we made so many chances and could have been three up - their goalkeeper was outstanding.
"They've won the game with a never say die attitude that Southampton always have. We matched that, should have scored and should have punished them."
John Gorman struggled to contain his disbelief over the fact that the team has emerged with no reward from the last two games at Newcastle and Southampton.