Former England forward Owen, who scored four goals in four games during United's pre-season tour of the Far East, missed a golden chance to score his first competitive goal for the club during Sunday's Premier League victory at home to Birmingham City.
The free transfer signing from Newcastle has struggled to make an impact since returning from the Far East, with warm-up games against Boca Juniors, Bayern Munich and Chelsea, in the Community Shield, failing to result in Owen adding his name to the scoresheet.
His failure to beat Birmingham goalkeeper Joe Hart in an injury-time one-on-one on Sunday denied Owen a goal on his Premier League debut for United.
But Old Trafford defender John O'Shea, who captained United against Birmingham, is confident that Owen will not be searching for his first goal for long.
O'Shea said: "Michael was unlucky with a couple of chances against but I'm sure he'll get off the mark soon.
"I think he'll be like Wayne Roonet in that he'll get his goals in runs. The sooner the first one comes, the better.
"As for Wayne, I think pre-season was so important, for him to get that sharpness he needs. Once he gets that, he's so hard to stop.
"His goal against Birmginham will give him a lot of confidence and it's only going to benefit us in the games to come."
United travel to Burnley on Wednesday for a Lancashire derby against Owen Coyle's promoted outfit the first top flight fixture at Turf Moor for 33 years.
And after claiming three points in the opening fixture against Birmingham, O'Shea admits that it is vital for United to maintain their promising start with another victory at Burnley.
He said: "You don't want to be playing catch-up, even after only one game. Other teams are looking stronger now, so it's important we stamp our authority early on in the season.
"We've opened the last two league seasons with draws (against Reading and Newcastle) so we're happy to have picked up three points against Birmingham.
"Now we move on with a tough game at Burnley to look forward to."