Axel Tuanzebe was forced to pull out of Manchester United's clash against Liverpool after suffering an injury during the warm-up.
"It's important to get results, it's the only way to grow confidence in what we're doing".
Solskjaer said the overhaul of the squad is a long-term project and will need at least two more transfer windows to build a team capable of competing for trophies.More news: Meghan Markle, Prince Harry to spend Archie's first Thanksgiving in LA
However, Solskjaer set up his team to shut down Liverpool's marauding full backs and hit on the counter, and the plan seemed to be working a treat when Daniel James' excellent cross from the right hand side was hit home from close range by Marcus Rashford on 36 minutes.
"He's been playing through the pain barrier, but when he came back against Rochdale and Arsenal he wanted to play, but it was too painful".
The 18-year-old has scored two goals in 13 games since making his senior debut last season and has signed a deal worth around £25k-a-week that will keep him at Old Trafford until 2023 with the option of another 12 months.More news: European Union mulls Johnson’s reluctant Brexit delay request
The youngster has been with United since he was seven and Solskjaer believes he can continue to progress into a top-class striker at Old Trafford.
Solskjaer has become emboldened despite United's poor run by public backing from the board that his job won't be in danger even if they lose to their greatest rivals.
"We're looking forward to this game". Because I know these players are good enough, no worries about that'. "We've had a tough time, a hard time lately, but I'm sure we'll give them a good game".More news: Astros’ Peacock, Yankees’ Green to start Game 6 of ALCS