The Cardiff City boss refuses to comment on talk that he is targeting Wilfried Zaha and Fabio and rejects suggestions that he will turn his side into the Red Devils' reserves
The Brazilian defender Fabio, who spent last season on loan at QPR, has made only a single Premier League appearance this season, while his young colleague has been afforded just two substitute appearances in the top flight since his move from Crystal Palace.
The former United striker has already signed Norwegian duo Magnus Wolff Eikrem and Mats Moller Daehli since taking over from Malky Mackay at the Cardiff City Stadium and is keen to further boost his squad before the end of January.
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"I am looking at strengthening my squad but I can't say names.
"It is not about the number. I will work with the players I have here but, if the right one comes up, then I will do business, like I have with Magnus and Mats."
Despite looking to his old club for new players - Daehli, before joining him at Molde, was an academy starlet at Old Trafford - Solskjaer is adamant that he is not merely looking to be United's reserve side.
"No, I'm creating a new Cardiff," he declared. "We need our own identity. It's not about emulating or copying anyone else, we want to play football.
"I want to develop Cardiff into a team everyone can be proud of the way they play football. That we can dominate games like we have done at home this season a few times. It's not about copying anyone else but, obviously, I want players I can trust and can play the way I want to."