Laporte serves as a special advisor to Lyon president Jean-Michel Aulas.
Lloris has long been linked with a move to Tottenham.
Laporte told French radio station RMC: "Regarding Hugo Lloris, he should stay at OL and not join Tottenham.
"Until the transfer window closes, you never know. If Modric goes to Madrid, things may move forward.
"But as he has started the Championship, Hugo is less hot to leave. He wants to continue at Lyon... Unless there is a very important proposal for him and for us. Their proposal was well below our valuation for our goalkeeper."