United are reported to have rejected a £54 million ($66 million, 59 million euros) bid for Belgium striker Lukaku from Serie A club Inter.
Lukaku was sidelined by injury for all four of United's pre-season games during their tour of Australia, Singapore and China.
After suffering an ankle injury, Lukaku trained on his own on the eve of the final match of United's tour -- last week's 2-1 win against Tottenham in Shanghai.
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On Sunday, a picture appeared on the 26-year-old's social media accounts of him and his agent Federico Pastorello, accompanied by the message "soon to be continued."
Lukaku is said to be keen to join Inter after a difficult spell at United since his £75 million move from Everton in 2017.
With Inter believed to have been given a imminent deadline by United to conclude the deal, the former Everton striker was absent from his club's 26-man travelling party to Norway.
United announced the squad on their official website on Monday ahead of the match at Oslo's Ullevaal Stadium.
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Meanwhile, United defender Eric Bailly is not part of the group heading to Norway after he sustained a knee injury in the victory over Tottenham.
Alexis Sanchez was another not included for United after limping out of Chile's Copa America third-place play-off match against Argentina earlier this month.
Ole Gunnar Solskjaer's side wrap up their pre-season against AC Milan in Cardiff on Saturday.
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