Proving his attacking abilities in the league, Fernandes bagged himself a spot in the national team and played for Portugal in 2016 Summer Olympics and 2018 FIFA World Cup.
Newspaper A Bola report that United offered Sporting their fourth-choice goalkeeper Joel Pereira, defender Marcos Rojo and playmaker Angel Gomes - but none of them interested the Portuguese club.
But Solskjaer insisted there was nothing new to tell the gathered media during his news conference on Tuesday.
The latest Deloitte report into the richest clubs on the planet has suggested that the Red Devils are "at risk of losing the position as the Premier League's highest revenue generating club for the first time".
European Union states in dispute process over Iran deal
The United States unilaterally pulled out of the multilateral nuclear deal in May 2018 and re-imposed crippling sanctions on Iran. In triggering the dispute mechanism, "our three countries are not joining a campaign to implement maximum pressure against Iran".
"I've got no transfer updates, so no", said Solskjaer when asked if he could provide an update on the apparent pursuit of Fernandes.
"We know we've got the resources", Solskjaer said.
We'll have to wait and see how negotiations progress over the coming days but it looks like Fernandes' move to United is edging closer and he should be a hugely exciting signing if the deal gets over the line. "If we need to go into the transfer market we're still up there so we're in a good place".
For an attacking midfielder, that is an outstanding return, highlighting why United are so keen to acquire his signature, especially with such a lack of midfield quality now.
The Red Devils have been credited with an interest in the 25-year-old as Solskjaer ponders adding to his squad this month.