The 34-year old midfielder is being touted as a replacement for the departing David Beckham with plenty of reports suggesting that a deal is close to being done.
But Leiweke wants to ensure that any public talk of a possible move for Lampard ends here, saying that discussions will take place behind closed doors.
"All the speculation, you guys are allowed to do that, you don't get fined," Leiweke told Sky Sports News. "We do!
"Chelsea is a club we have a great relationship with. We've heard of other players mentioned that are playing in Europe and we want to respect their clubs and where they're at.
"We know how it feels when suddenly a player in the middle of the league, or Champions League, gets in the eye of the storm because of the speculation he's going somewhere else, we won't do that."
He added: "FIFA rules indicate we're not allowed to talk to players until the last six months of contract and he's longer than six months.
"We're not going to talk about Frank. Their league play and season goes all the way through to June. If we're going to have conversations we'll have them with Chelsea."