Solskjaer revealed the Uruguayan striker could return from injury for Wednesday's Carabao Cup clash with West Ham United.
Asked for an update on Cavani's fitness, Solskjaer told reporters: "Edinson will hopefully start training with us after the weekend, maybe Monday, so maybe [he'll be] involved on Wednesday.
"He had a fantastic season last season, the impact he made when he got his fitness... he struggled with niggly injuries early on.
"We feel that to get the best out of him this season we need to get him 100 per cent fit and not rush him.
"We've got a strong squad that will cope with having to let players heal and not risk any further injuries.
"I see Edinson having a massive impact, he's that type of personality and player. He can't wait to play and he's working really hard to get back on the pitch."
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