Manager Dick Campbell praised his players for a “diligent” performance at Cappielow that ended with a deserved 2-0 win over Forfar Athletic.
Goals in either half from James Dale and Gavin Malin gave the Loons just their fourth away win of the season.
Campbell, whose side go above Brechin City into third, believes the win puts his team right back into the League One title race.
Dick said: “We’ve been a bit unlucky in the last few weeks but I thought we were diligent and professional against Morton, and we were worthy winners. It’s not an easy place to come, to come to Cappielow and win.
“No goals against is a good base for an away victory so I’m extremely happy. That’s us back in the melting pot again, particularly with the rest of the results.
“To a man there wasn’t a failure in my team, they did everything I asked of them.”
It’s a great result for us but we won’t get carried away, I’ve been here before.Dick Campbell
The visitors conceded possession to their opponents as Dick opted for a narrow 4-2-2-2 formation aimed at disrupting Morton’s play.
And disrupt their play they did as Morton enjoyed most of the possession, but did very little with it.
The boss was pleased with the defensive display of his players, but said he isn’t getting ahead of himself despite the massive result.
He continued: “They’ve been scoring a lot of goals lately and Jim went for it in the second half with three up front. We’ve dealt with everything they’ve thrown at us.
“It’s a great result for us but we won’t get carried away, I’ve been here before.”
James Dale’s opening goal came after the young midfielder converted a rebound from Iain Campbell’s 25th minute penalty that was excellently saved by Derek Gaston.
The referee awarded the spot kick for a foul by Sean Crighton on Chris Templeman and Dick felt it was the correct decision.
He added: “I read it as a penalty, I was sitting up in the stand. It was a strong decision by the referee to give a penalty like that down here, but that’s the way I read it.”
Morton chief Jim Duffy didn’t share Dick’s view of the penalty but refused to blast the referee until he’d seen footage for himself.
Duffy said: “I thought first half we played pretty well, Rab Douglas has made a couple of great saves. Then the referee’s given a penalty and nobody knows what for. I need to see the DVD, I don’t know if it’s a bad decision or not.
“We felt unfortunate to go into half time a goal down and then second half, with all the possession there’s always the chance that you’ll get caught on the counter-attack and that’s what’s happened.”