German international forward Werner, who has scored 32 goals in all competitions so far this season, was heavily linked with a move to Liverpool.
However, Chelsea pursued their interest to meet Werner's reported £54 million release clause as Liverpool's dwindled due to the economic fallout from the coronavirus pandemic.
"I had good conversations with him personally where I think he understands what I want to do here with the club, how we work, how we play," Lampard said in a videoconference ahead of Chelsea's return to action at Aston Villa.
"It came across as a very exciting option for him because he obviously had some very good options. We are happy with that and it was very joined up from our end how we went about it."