Tranmere manager Les Parry was relieved to take a point after his side withstood the pressure against Oldham.
Veteran goalkeeper Tony Warner was the hero for Rovers, who move three points clear of the npower League One relegation zone following the goalless draw at Boundary Park.
"Our performance was not great and I'm sure Oldham will be gutted that they didn't win,'' said Parry.
"They made a few good chances and our keeper made a few good saves but I'm delighted because it's about time we played poorly and came away with something.
"It's another clean sheet and we keep preaching clean sheets to the players so I'm pleased with that as well.
"Before the game I really fancied us to get three points if we played as we can but Oldham did exceptionally well and we probably didn't deserve the point we got."
Oldham are now without a win in 12 games - failing to score in 10 of the last 11 - and their new year play-off ambitions have been replaced by a growing anxiety at the opposite end of the table. Nevertheless, manager Paul Dickov remained positive after the match and praised his players for their endeavours.
"I suppose I have to be happy as we have stopped the rot after a few defeats and we've kept a clean sheet," he said. "But I'm also really disappointed because we created lots of chances and the ball just won't go into the net for us at the moment.
"We are doing the right things and have not become a bad team overnight, but we are suffering from a lack of confidence in front of goal.
"If we keep creating chances sooner or later it will go for us and I have confidence that a win will come eventually."
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