Solskjaer is focusing on FA Cup progress against Reading, who are second from bottom of the Championship.
"Of course I won't, I don't want to", said the ever-smiling Norwegian on Wednesday (Jan 2), when asked after United's 2-0 win at Newcastle United whether he would want to leave Old Trafford in May at the end of his planned interim spell.
He added: "As I've said to all the players when I speak to them, we want to see the best out of them, we want to see them enjoy themselves and express themselves, within the framework, within how we want the team to play".
"Because if the players then decide, for whatever reason, they are not happy, what are you going to do?" "When you have players, like we have, with pace - Paul [Pogba], Anthony [Martial], Alexis [Sanchez], Romelu [Lukaku], [Marcus] Rashford - that's how we played with Andy [Cole] and Yorkie [Dwight Yorke] with Giggsy [Ryan Giggs] and Becks [David Beckham] down the sides".
Today's game appears a hiding to nothing, and yet O'Shea, now 37, is determined to make the most of what will nearly certainly be his last visit to his old home as a player.
"You don't be the player (Solskjaer's) been and stay at the club for as long as he did if you don't have that inner determination, that steeliness".
The Red Devils are in sixth place in the Premier League table following four successive victories over Cardiff City, Huddersfield Town, Bournemouth and Newcastle United. There'll be tougher games coming up, we know that.
"It's such a great bunch of players, fantastic atmosphere, but it's the next game, it's the next game".
"You always have to wonder, they bring Ole Gunnar in because he knows the system", Howard told ESPN FC.
"Lukaku and Sanchez will start".
Newcastle boss Rafael Benitez has warned the rest of the Premier League not to write off Manchester United just yet.
Both Rashford and Lukaku revealed they are relishing the input of Solskjaer, who has spoken about his desire to work with the pair.
There's still a lot of work to be done - United are still six points away from the top four - but it has still been a very encouraging start.
"Unfortunately, we lost the game but we were very close to getting a draw, so it's disappointing". But the congested fixture list over the last two weeks has left little time for training in between games.