The Dutch midfielder has made nine starts for United since joining Ajax for a reported £ 40million at the end of the season, just two of them in the Premier League.
He has not featured at all in United’s last three games since the 1-0 FA Cup victory over Watford on January 9, but he will play a role in Sunday’s fourth round clash against Liverpool.
Solskjaer himself struggled to find regular starts during his playing days at the club under Alex Ferguson and praised Van de Beek on his professionalism.
“I wouldn’t say Donny is happy,” he said. “Of course he wants to play more, but he’s doing his job in the right way.
“He reminds me a lot of myself, when I arrived, that he understands my difficulties and my challenges
“We are doing well and have players who play really well for him.
“I was the same with Sir Alex. When he let me out, I got it and I was happy that the team won – and Donny is that type of guy.”
Van de Beek has made 10 Premier League appearances for United in total and scored his only goal in the 3-1 win over Crystal Palace in September.
The 23-year-old is yet to score a goal and has created just two big chances for his teammates in those 10 games.
His average of 50.2 assists per 90 minutes ranks below midfielder Bruno Fernandes (60.17), Paul Pogba (62.02), Fred (62.85) and Nemanja Matic (76.08) but above. above Scott McTominay (48.37).
Van de Beek ranks higher for completed dribbling (1.43), however, with Pogba (1.75) the only midfielder above him in this metric.
Solskjaer continued: “He knows he is important to us and knows he is going to play a lot of games.
“He will definitely be involved in this game against Liverpool and he could be the deciding factor in the game.
“He trusts his own quality. He’s a quietly confident guy who knows deep down he’s good enough and is just waiting for his opportunity.”
Having been used in various roles in the United midfielder, Van de Beek – used as a box-to-box threat during his days at Ajax – has scored 28 goals in total in the Eredivisie.
Arguably his most impressive form for Ajax is in the 2018-19 Champions League campaign, with his four goals helping the Dutch giants advance to the semi-finals.