Cavani is yet to respond to the Premier League club’s £200,000-a-week offer.
Solskjaer is aware the Uruguayan striker is keen to return to South America this summer.
The former PSG and Napoli frontman wants to sign for Boca Juniors, but his decision is being complicated by a potential £2million pay-off.
Solskjaer hopes Cavani can still be convinced by a successful end to the season, with United fighting to finish in the top four and win the Europa League.
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