Many expect the Blues to be busy during this month’s window following a poor run of results in the Premier League.
Fikayo Tomori was expected to leave Stamford Bridge on a loan deal having found his first-team chances limited this season.
Newcastle had shown an interest in taking the 23-year-old with Leeds United also having been linked with a move.
Though The Sun report that Tomori’s hopes of a temporary exit have been dashed following an injury to Christensen.
It’s claimed Christensen has undergone scans having suffered an injury during the recent the draw with Aston Villa.
And Chelsea reportedly fear that the defender will be sidelined for a lengthy period, leaving Lampard short when it comes to defensive options.
Thiago Silva and Kurt Zouma are the first choice pairing for Lampard this season with Antonio Rudiger the only other recognised central defender should Tomori depart.
Lampard is under pressure at Stamford Bridge having won just once in their last seven matches across all competitions.
The boss said: "I enjoy pressure. If I didn’t enjoy it I would not have got back into this, or I would walk away at the first chance, and that’s never ever going to be something that I would do.
“The first person that puts pressure on me is me. I do that all the time, for good and for bad.
“I take it on. I don’t mind it. That’s how I am. Maybe my wife will tell you how I react to pressure better than I do. But I don’t kick the dog!
“It doesn’t mean you are always happy. I’m not as happy right now as I was when we beat Leeds last month and we were on a 16 game unbeaten run. That’ s normal.
“But it makes me focus on the job. You learn a lot more in defeat or in tough moments. You have to review more, look at yourself more, look at every little tiny percentage, and I like doing that.
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"That makes you better as a coach and as a person.
“It’s a different level of pressure from when you are a player, and that’s something I had to handle as soon as I stepped into management. Because you take the pressure on from more angles, and rightly so.”