After successive draws against Villarreal and Chelsea in the Champions League and Barclays Premier League respectively, United finally got a victory by beating Middlesbrough at Old Trafford on Tuesday night.
"We have had a tough start," acknowledged Giggs.
"We didn't play well at the beginning of the season but over the last week or so we have played some really good stuff.
"This team is capable of going on a run and winning 10 games on the trot. Hopefully that run has started now and we can carry it on against Bolton."