United have been in superb form, on an unbeaten 16 game run in all competitions, and will hope to challenge Liverpool for the Premier League title next season.
And executive vice-chairman Woodward will be tasked with bringing in reinforcements to allow Solskjaer to push for major honours.
Jadon Sancho is the top of Solskjaer’s wishlist, as the right wing remains an area of weakness for United, with a number of alternatives also linked with that position.
And according to The Telegraph, Solskjaer has also asked for a centre-back and a striker.
Marcus Rashford, Anthony Martial and Mason Greenwood have shared the goalscoring burden this season, but United haven’t replaced Romelu Lukaku, who left for Inter Milan last summer.
Both Rashford and Martial have passed the 20-goal mark – the first time a United duo have done so since Javier Hernandez and Dimitar Berbatov in the 2010/11 season.
But a top experienced striker to allow the likes of Greenwood space to develop is thought to be a priority, as well as a top centre-back to partner Harry Maguire.
Neither will come cheap, and with United reportedly unwilling to spend more than £50million this summer, a number of players will have to be sold to raise funds.