A 1-0 win over Burnley on Tuesday night took Manchester United to the top of the Premier League table for the first time in January since 2013 when they won the league.
Manchester United have not been a meaningful part of the title conversation at this stage of the season since they last won the league in 2013 under Sir Alex Ferguson.
There is palpable excitement amongst the fans about what their side could achieve this season but Solskjaer is not getting carried away.
The Manchester United manager played down the fact that his side are top of the league table at this stage of the campaign.
However, he stressed that his team are only getting better and he has the squad to compete at the summit of the Premier League.
Solskjaer said in a press conference: “We won the league in 2013 in the last season of Ferguson and that’s what counts.
“It is not whether you are at the top of the table in the middle of the season or the start of the season.
“We are not thinking so much about it just now.
“What we are thinking is that we are getting better and better all the time.
“We have built a strong squad who can compete at the higher end of the table.”
Manchester United will travel to Merseyside for a top of the table clash against Liverpool at Anfield on Sunday.