Chief executive David Gill says United are pleased with the Champions League draw after being put in the same group as Celtic, Villarreal and Aalborg.
The Reds will kick-off the defence of their European crown at home to Villarreal in the middle of September and Gill is hopeful of another successful campaign.
"Overall, we're pretty pleased with the draw," he told Sky Sports. "We don't have far to travel and the way the games have fallen means our first game is at home to Villarreal between our trips to Liverpool and Chelsea which is good.
"Villarreal are a good Spanish team and we'll be up against our former striker Giuseppe Rossi - I'm sure he'll look forward to coming back to Old Trafford. The games against Celtic were great occasions last time. Both teams have got very passionate fans and I'm sure they'll be great games again which both the players and the fans are already looking forward to.
"It's a great competition with a lot of great teams and as defending champions we're really looking forward to it," he added.
With the closure of the transfer window fast approaching, Gill insists the club are still "looking at things," but refused to be drawn on specific players.
"I've got nothing to report on transfers at Manchester United - ins, outs or contract negotiations. Clearly there's not long to go, but we're looking at things and let's see what happens," he said. "I've been doing transfers for many years and they're never done until they're done. But we're working on it."