"Any Manchester United team should go into any game against any opposition believing they can win that game", Solskjaer said.
Asked if the 19-year-old would be staying at the club, the United boss said: "I've got no news, nothing, so it doesn't look like it".
"I've not heard from them last night or this morning so it seems like they haven't managed to agree so the answer is probably short and yes [he will leave], then".
Marcus Rashford is chief among the recent graduates to have flourished and is keen to make up for lost time, having sustained a potentially season-ending back injury in January.
He added: "That's the normal routine for a Man United player".
"I've been here myself for so many years as a striker and Teddy Sheringham comes in, Dwight Yorke comes in, Ruud van Nistelrooy comes in, Wayne Rooney comes in".
United are on a 14-match unbeaten run as they chase a top-four finish in the Premier League and remain alive in the UEFA Europa League and FA Cup.
Man Utd have kept a clean sheet in 5 of their last 7 matches in the Premier League whereas Brighton have picked up just one win in their last six matches so picking up three points should not be a major cause of concern for the away side. "You've got Leicester, Chelsea, us, you've got Wolverhampton doing really well".
'Of course, the talk is about Bruno and Paul and I'm sure they can play together.
"It must be exciting for all the fans, we've been waiting for so long to have football that matters, we want fans in the stadiums but at least now we can sit back and watch some exciting games".
'We've got so many other options with lads who have already proven what they bring to the team'.
Luke Shaw has started every single one of the last 14 games, is he playing at his best at the moment and why have you opted not to give him a rest, because a number of players have been rotated over the last 14 games?