Manchester United boss Sir Alex Ferguson has warned his players to cut out the errors as they prepare for Sunday's clash with Liverpool.
With United dropping points conceding late goals to Fulham and Everton, Ferguson said: "To lose two points in added time once is bad luck.
"But twice this early in the season is downright careless and it has to stop."
Meanwhile, Roy Hodgson is relishing the prospect of facing United for the first time as Liverpool manager.
Both teams have had a stuttering start to the season, with United's dropped points leaving them four points behind leaders Chelsea, prompting Ferguson to demand more of a ruthless streak from his players.
"I think back to that great quartet of strikers - Dwight Yorke, Andy Cole, Teddy Sheringham and Ole Gunnar Solskjaer - who all had a ruthlessness and concentration that saw them determined to finish off games," the Old Trafford boss added.
"It's a quality our present team must acquire and I want the players, both up front and at the back, to reflect on their powers of concentration - or lack of - and work on that aspect of their game."
United may be third in the Premier League, 13 places above Sunday's visitors Liverpool, but it has been a patchy start to the campaign for the 2009 league champions.
Ferguson's side have already blown leads against Fulham and more spectacularly Everton. The latter match at Goodison Park saw the Toffees hit back to draw 3-3 with two goals in injury time.
The credentials of Ferguson's team will be tested even further when they come up against Hodgson's Liverpool who have also had an indifferent opening month in the Premier League with just one win in four.