The England international winger completed his transfer from Borussia Dortmund on 23 July but was not involved at last week's St Andrews camp.
However, he has shared several images and videos on his social media accounts which highlight how hard he is working to get ready for the new season and the boss confirmed that he would be present at Carrington on Monday.
The boss will evaluate Sancho then, with the hope that he can be involved to some extent in the Premier League opener with Leeds United at Old Trafford on Saturday 14 August.
There was further good news from Solskjaer's press conference, conducted after the 4-0 friendly win over Everton, as he provided another update on prospective arrival Raphael Varane.