The boss knows it's crucial to stay in the European shake-up over the next couple of months before the final push in April and May.
We travel to St Marys level on points with in-form Saints and just three points off the Champions League spot.
It's a tough task with Gordon Strachan's men unbeaten at home in 11 Premiership starts.
Former Saints manager Glenn reasoned: "We're still in a good position points wise, we could have gone fourth with a win at Newcastle but we're in a good position.
"If we can get the three points down there - and we'll be going for three points - we can keep ourselves in a good position.
"That's what we've got to do over the coming months, be there or there abouts in fourth, fifth or sixth place.
"As long as we're in striking distance around April time, that's what we're aiming for.
"That means going to places like Southampton with a positive attitude and trying to win the game."
Glenn Hoddle insists we'll go to Southampton on New Year's Day looking for nothing less than maximum points.