United have made a poor start to the new season and are already under heavy pressure following their 6-1 defeat at home to Tottenham last Sunday.
Solskjaer’s position has also been questioned with reports claiming that United have already begun sounding out Mauricio Pochettino as a potential replacement.
Keane, meanwhile, blamed United’s players for Jose Mourinho’s sacking nearly two years ago and believes Solskjaer will suffer the same fate.
The former United captain also slammed the performance of Solskjaer’s side against Jose Mourinho’s men at Old Trafford and called the players ‘a disgrace to the badge’.
‘The performance against Spurs was disgraceful,’ Keane told ITV.
‘We’ve all be in football, we’ve had bad days but I thought it was a disgrace to the badge some of the players’ performance.
‘Too many bluffers.
‘With the players he’s got there. I’ve said it before, they threw the previous manager [Mourinho] under the bus and they’ll do exactly the same to Ole.’
United will be looking to get their Premier League campaign back on track after the international break as they face Newcastle United on October 17.