The Scots sit bottom of their World Cup qualifying group with two points from five matches ahead of their clash with Serbia in Novi Sad on Tuesday night, but Miller believes one victory could be all it takes to lift Scotland following their 2-1 defeat by Wales on Friday night.
Miller said: "We have been low before and we have been picked back up. We have got to put Friday night behind us, don't feel sorry for ourselves and hopefully get a result in Serbia."
He added: "If you look at the last Wales game, when we played down there, both teams were getting a bit of stick.
"I don't really see much of what goes on down there but it seems to have had an effect on their team.
"They have beaten us twice so they are obviously on the up.
"There is only one thing we can do - get our head down and work hard and get good performances and get results. There is no magic formula - it's all through hard work."
Miller accepted his chances of playing in a World Cup finals had gone following the Hampden defeat by Wales, but the 33-year-old could start in Serbia after Steven Fletcher went back to Sunderland nursing the ankle injury that forced him off in the opening stages.
And the experience of Miller could persuade manager Gordon Strachan to utilise the Vancouver Whitecaps forward on Tuesday night to help steady a Scotland side which is also missing Scott Brown, Darren Fletcher, James Morrison and the suspended Robert Snodgrass.
Miller said: "Obviously this campaign does look like it's going to be petering out, but if we can put some good results towards the end of this campaign, we can then maybe carry that on to the next campaign."
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