Dortmund CEO Hans-Joachim Watzke has refused to rule out the possibility of selling key players given the financial implications of the pandemic.
The German side have two of the brightest prospects in Europe within their ranks in the form of Jadon Sancho and Erling Haaland – and both players are transfer targets for Manchester United.
Solskjaer made Sancho his major priority transfer last summer but they failed to come an agreement with Dortmund, who refused to lower their £105m valuation of the player.
Haaland, was in talks with Solskjaer in December 2019 over a move to United, but, the striker moved to Germany instead.
The Norwegian star has 17 Bundesliga goals in as many matches this campaign and his agent Mino Raiola revealed up to four Premier League teams could compete for his signature.
Haaland has a release clause of £65m which only becomes active in 2022 but Dortmund will likely have their resolve tested this summer window with the widespread interest in the attacker.
Although Watzke wants the club to hold onto Haaland, he suggested future sales may be necessary given the current financial climate.
‘In the midst of a pandemic, I no longer rule anything out,’ Watzke told Handelsblatt.
‘But it is not necessarily aspired to. Above all, there is the financial balance: that we have a strong team on the field and are economically stable at the same time.
‘Asking banks for credit lines at the drop of a hat just to avoid selling a player will not be our way.’
Solskjaer handed Haaland his first team debut at Molde, and when quizzed on a possible move to reunite with him at United, he conceded the two still ‘keep in touch’.
‘I think when you have had kids and players through as a coach you follow them,’ said Solskjaer earlier this week.
‘I keep in touch with Erling – it is great to see him become the player he has become. ‘He is a Dortmund player and we wish him well there. Let’s see what life will bring later on.’