Luke Shaw, Ashley Young and Ander Herrera are out of Manchester United's Premier League encounter with West Ham.
Full-backs Shaw and Young are suspended for Saturday's clash, while a muscle injury means midfielder Herrera remains sidelined.
Nemanja Matic is a doubt through illness, while Eric Bailly, Alexis Sanchez and Antonio Valencia are set to be absent again. Matteo Darmian and Marcos Rojo are available.
"He is training with us," Solskjaer said of the Chile forward. "He's trained twice. He'll train today.
"I'm not sure if he's going to be available. He's injury free but I am not sure if he's 100 per cent for tomorrow, maybe more likely for the Barcelona game (next Tuesday), so let's see."
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Solskjaer will have half an eye on Tuesday's trip to the Nou Camp when selecting his side on Saturday, although he is well aware of the need to win.
Already three points off the top four heading into the weekend, United have lost four of their last five matches in all competitions.
"You're never happy when you don't win games, but it's been a period now where we've played some good teams," Solskjaer said.
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"We had some good performances, but we haven't had the quality in front of goal and belief maybe in front of goal that we should have because against Wolverhampton and Arsenal , the two league games, two of the last three, we should have won with the amount of chances.
"So, we've been practising. As a striker I know how important that little belief is and trust in yourself, so we've been putting balls in goals."
Provisional squad: De Gea, Romero, Grant, Dalot, Darmian, Jones, Lindelof, Smalling, Rojo, Garner, Fred, Matic, Gomes, Lingard, Mata, McTominay, Pereira, Pogba, Greenwood, Lukaku, Martial, Rashford.
