Following talks first reported by Standard Sport last week, the versatile full-back has agreed to join Chelsea for the 2023-24 campaign on a three-year deal.
The Blues are also closing in on signing midfielder Catarina Macario, who would act as an indirect replacement for Harder with Lawrence set to slot into the squad where club captain Eriksson vacates.
Chelsea boss Emma Hayes and assistant Paul Green have worked at length with co-owners Todd Boehly and Behdad Eghbali over the upcoming transfer market.
Lawrence will be their third signing of the summer, after Sjoeke Nusken agreed to join from Eintracht Frankfurt on a three-year deal.
Belgian goalkeeper Nicky Evrard will also arrive on a three-year deal from Leuven.