The Norwegian was handed a three-year deal by the Red Devils when he was appointed as head coach on a permanent basis in March 2019, but there have been question marks surrounding his future this season.
Solskjaer has led the 20-time English champions to four straight wins in all competitions, though, including a 3-2 success away to Southampton in the Premier League on Sunday.
When asked whether he had thought about his future at Old Trafford, the club's former striker insisted that he is currently only focused on helping the team to improve.
"We live in a results business and all I want is for Man United to improve as a team and as a club. I have a very good dialogue with the club all of the time," Solskjaer told reporters.
"You have to think long-term and short-term – and I would never ever think that this is my chance to prove a point and that it's all about me. That's not what it's about here. Every decision I make is for the good of Man United.
"For me, it's about results and if we keep improving we have a very good opportunity because this team and this squad is going places."
United will be back in action at home to Paris Saint-Germain in the Champions League on Wednesday night. body check tags ::