Molde's pre-season starts on Monday and they have already allowed Solskjaer to miss the opening months of the campaign.
Molde managing director Oystein Neerland said: "The deal is until May 12. That is our Plan A and our Plan B. We have no Plan C."
United are interested in Tottenham manager Mauricio Pochettino, but Solskjaer's bright start has put him into the reckoning.
Neerland said: "We have only spoken with United about this period January to May. Nothing else. I'm staying with this plan.'
Neerland then grinned: "I think Ole will be back in May. I think."