Jose Mourinho has made no secret of the fact that the England midfielder is on his summer wish list, after months of speculation that Lampard would leave Stamford Bridge during the close season.
But having made an official approach for the player, Inter have been told that Chelsea are not interested in speaking to other clubs about the sale of Lampard.
The statement read: "Chelsea Football Club can confirm it has received an official approach from Inter Milan to discuss the possible transfer of Frank Lampard. Contrary to reports no financial offer was made.
"Chelsea FC has informed Inter this morning (Tuesday) that we will not enter into any discussions regarding the transfer of Frank Lampard."