According to transfer expert, Fabrizio Romano, senior officials at Old Trafford were in an urgent meeting on Monday.
The meeting took place 24 hours after United were hammered 5-0 by Liverpool at home in the Premier League.
However, during the discussions, Ferguson made a case for Solskjaer to continue as the team prepares for a trip to Tottenham Hotspur next.
Romano tweeted: “Manchester United internal talks. Main part of board [Sir Alex Ferguson too] wants to give Solskjær another chance to be in charge for Tottenham game.
“Pressure still high around Ole. No official talks with Antonio Conte – but he’d accept the job in the next days too.”
It is understood that Solskjaer took training on Tuesday morning ahead of the fixture.