The penalty against Southampton took Lampard up to 193 goals, equalling Dixon's record for the club and putting him joint second behind Bobby Tambling's haul of 202.
"It meant a lot as I have so much respect for Kerry," Lampard said.
"He was a player, is still a personality around the place and a good friend of mine.
"To get anywhere near him and with level I am I am very proud that.
"I haven't spoken to him yet but I am sure I will do.
"I have to say, Kerry has been one of the most supportive people at the club for me as an ex-player as well.
"I have nothing but thanks for him for helping along the way to get level with him."