Solskajer had been hopeful the youngster would extend his stay with the Red Devils, but a new contract has not been agreed yet.
"I've got not n news, nothing, so it doesn't look like [he will stay]," the United boss told a press conference [via ESPN] on Monday.
He added: "I've not heard from them last night or this morning. it seems like they haven't managed to agree so the answer is probably short and yes [he will leave]."
The 19-year-old United academy graduate will now leave the club on a free transfer. He will become a free agent on Tuesday, which is when his contract expires. Chelsea are said to be keen on the attacking midfielder.
Meanwhile, Manchester United next face Brighton in their upcoming Premier League fixture on Tuesday (tomorrow) late night IST, with the Old Trafford-based outfit still hopeful of breaking into the top-four.
Solskajer's team will be hoping to maintain their momentum and register another victory and keep their hopes of earning a Champions League qualification alive.