The experienced England international is the latest in a long list of names to be bandied about in connection with the champions but the manager was quick to shoot down the rumours at his press conference on Friday.
Sir Alex said, "You’re not going to tell me that Chelsea would sell to Manchester United in January? Do you really believe that?
"There’s no foundation to that story simply because Chelsea are like us, they want to do something. The second half of the season is going to be important to them. If they want to try and win the league, they’re going to have all their best players. That’s the name of the game."
The manager reiterated he won't reach for the panic button during the window despite the consecutive defeats to Blackburn and Newcastle.
"What can you get in January? I say this all the time. The players we would like we won’t get. So what do you do? Do you take a second-rate player? No, of course you don’t.
"I think obviously the injury situation has accelerated a lot of our fans into saying ‘Why don’t you get someone?’ But I’d rather stick with the ones I’ve got rather than get someone in who’ll end up not getting a game anyway because they’re not good enough.”