The Athletic says Lampard has told Marina Granovskaia that he does not want a new player for the position.
It is believed Declan Rice was Lampard's top priority, with the former Blues star hoping to convert him from a holding midfielder to centre-back.
Instead, Lampard now wants Granovskaia to focus on recruiting a defensive midfielder as he is afraid N'Golo Kante and Jorginho could leave this summer.
Rice is still being considered but West Ham's £80m price-tag is disconcerting given the Blues have already spent £160m this summer.
One player being watched by Lampard is Lille's Boubakary Soumare.