Neil Harris netted a late winner as Coventry were denied a deserved point at Millwall.
The Lions striker netted from close range with just six minutes remaining, although the Coventry defenders were adamant that Harris was in an offside position when he received the vital pass.
Until then, the Sky Blues looked as if they would leave The Den with a creditable draw after veteran full-back Steve Staunton had cancelled out Paul Ifill's goal.
Staunton stepped up to the penalty spot on 70 minutes after he himself had been tripped in the box by Matt Lawrence and fired low and hard into the bottom corner to give keeper Tony Warner no chance.
The goal put Coventry level after Ifill's close-range effort had given Millwall the lead just eight minutes earlier.
Tony Craig's long throw caused chaos in the box and although the visiting defence managed to block Ifill's first effort, he turned and hooked the ball in from a tight angle.
Millwall played the last few seconds with only ten men as Tim Cahill was sent off for two bookable offences, but they held on for a win that keeps them on the fringes of the play-off zone.
However, manager Mark McGhee admits that his side is not playing well despite maintaining a decent run of results.
"As a team I thought we huffed and puffed all match. At the moment we're not very pretty, but we're grinding away and somehow we are in seventh place without really kicking a ball," he said.
"But I thought we just about deserved to win against Coventry. It was fairly even and in a game like that anybody can win it." Coventry player-manager Gary McAllister was frustrated with the defeat after restricting the Lions to just a handful of chances.
"It's very frustrating and no consolation to think that we had 65 per cent of the play," he said.
"We are all right when we have the ball, but we're finding it hard when people throw hopeful balls into the box "I thought Millwall's first goal came against the run of play and for their winner, we felt there were two players in an offside position who were well off."