Defeat to Sunderland in the Capital One Cup was David Moyes' third in a row at the start of 2014 but the England striker is convinced the Red Devils will get back to winning ways.
David Moyes' side has yet to win in the new year, with Tuesday's Capital One Cup semifinal defeat to Sunderland coming after losses to Tottenham and Swansea City, respectively, and the club finds itself 11 points behind Arsenal at the top of the Premier League table.
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Rooney has not featured for United since the 2-1 defeat to Spurs on New Year's Day as he continues to struggle with a groin injury, but he has urged the club's fans to remain behind the team, vowing that results will improve.
He told MUTV: "The fans' support is very important. The fans have been great here, especially now when we are not in the best of form and we have lost the last few games.
"We need them to support us through this time. We will get stronger and we will get better. The fans are vital in being patient with us and letting us try to get there. I am sure we will do."
Danny Welbeck has frequently been played further forward as Moyes looks to cope with an injury crisis that has also seen Robin van Persie miss out on his side's last six games, and Rooney was full of praise for his England teammate.
"Danny's been great," he added. "He's been working really hard and he's played a few games up top now and scored some vital goals for us.
"He's been brilliant, especially when we've had a few injuries and he's come in and helped the team."