United are currently on a 25-match unbeaten run, but Fletcher admits they need to turn one point into three points in order to challenge for the Premier League title.
“People are talking about us not losing but we have drawn too many, especially away from home,” said the Scotland skipper.
“We have to start winning our away games if we want to push up this league.
“You can’t afford to draw too many games, otherwise you will get left behind.
“Overall, you would be better winning two games out of three and losing the other one rather than winning one and drawing two.
“That is why we were disappointed on Wednesday.
“We could have got the win and felt we produced a performance good enough to get us one.”