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Chelsea defeated Morecambe 4-0 in the FA Cup third round tie last weekend, to seal passage to the fourth round of the competition.
The Blues will now face Championship side Luton Town in the fourth round.
Chelsea were given a home draw for the fourth round tie, which will take place next Sunday, January 24, by 12 noon BST.
Lampard who won the competition as a player was close to winning the FA Cup last season, only to lose 2-1 to Arsenal in the final.
Lampard will still be keen on winning the FA Cup this season.
“I’ve been in this game long enough and lost semis and finals and games along the way,” the Chelsea manager recently said.
“For it [last season’s final] to be in the back of my mind six months later would be the wrong course. It was what it was, we had a cup final, we went 1-0 up, Christian Pulisic went clean through at 1-1 and tore him hamstring before he shot, we had a player sent off which was a harsh decision, but that game is gone.
“It would have been nice to win it but the story of last season for me was us getting into the top four when most people didn’t expect us to do that. The FA Cup would have been a lovely ending but it didn’t happen.”