The Old Trafford side secured a £48million permanent deal for midfielder Bruno Fernandes and a last-gasp six-month loan for striker Odion Ighalo, but those signings fell short of what Solskjaer had hoped for at the start of the window.
The Norwegian handed chief executive Ed Woodward a list of players he wished for in December but only one permanent deal has left the first-team squad thin on numbers.
Ole Gunnar Solskjaer is concerned over his Manchester United future after a poor January
Solskjaer will lead his side against Chelsea on Monday night as they bid to rise from ninth spot and avoid a lowest-ever Premier League finish.
The failed deals have left Solskjaer concerned the club are starting to lose faith in him by not investing in the players he is after.
Woodward has privately insisted he is happy to axe Solskjaer if needed in future despite his legendary status at the club, with former Tottenham boss Mauricio Pochettino and ex-Juventus chief Massimiliano Allegri both interested.
At a recent fans’ forum, Woodward said: ‘As a club and a board, we do recognise that we are not yet where we want to be.
Chief executive Ed Woodward was able to make just one permanent signing last month
‘It is the overwhelming priority of everyone at the club to get us back to regularly challenging for Premier League and Champions League titles.
‘As part of the rebuild we see this coming summer as an important opportunity.
‘There has been no shortage of investment in players over the past few years, with over £200m spent since Ole became manager. Our aim is to ensure that we continue to achieve consistency in quality of recruitment.
‘Bruno Fernandes and the players we brought last summer are evidence that our process is the right one.’
Club supporters are also split over Solskjaer, with some preferring to give him more time, while others are keen to see a more experienced coach work with the team.
The club missed out on players including Erling Braut Haaland, who joined Borussia Dortmund