Barcelona paid an initial €105million to sign Dembele from Borussia Dortmund in 2017 and the five-year contract he received is set to run out next month.
Bayern Munich and Chelsea are reported to be keen on the World Cup-winning winger, who could be available on a free transfer.
Laporta acknowledged that Dembele is intrigued by the interest being shown in him, but the Barcelona president believes he could well choose to stay at Camp Nou.
"He wants to stay but is very tempted by other options that offer conditions that may be considered better than ours," Laporta said.
"The offer has been on the table for some time. They will respond when the season is over. We would've liked to have an answer sooner, but we can't force it.
"The coach likes him and I like him. We've made a very important effort to make him stay. He looks very comfortable and has a good relationship with everyone. Auba [Pierre-Emerick Aubameyang] has come, and they are very good friends.
"He has representatives who are in control of the situation, but I hope he stays. If not, we will reinforce that position."
Laporta sounded more confident on the prospects of teenage midfielder Gavi signing a contract extension after an impressive breakthrough campaign with the first team.
"Let's let the technical secretariat work. He has received an offer. I hope that Ivan de la Pena [Gavi's agent] responds favourably to the proposal," Laporta said.
A renewal for Dani Alves could also be on the cards as the 39-year-old right-back, who signed a cut-price deal to return to Barca, eyes a place in Brazil's World Cup squad.
Laporta said: "I would like him to continue. He adjusted a lot so as not to hurt us in the [financial] fair play issue. He is excited to play in the World Cup and if he continues with that attitude, he doesn't endanger our accounts. We'll see."