That's according to a Los Angeles Times report.
Davis informed the franchise last week that he did not intend to sign a new long-term contract in New Orleans and wants to leave to join a team able to fight for a championship.
The 25-year-old has the right to sign a five-year supermarket contract for $ 240 million this summer, but with the pelicans 23-30 this season and leaving the playoff, Davis has decided it's time to look for a move,
The Lakers and Boston Celtics are the two organizations that desperately want to be the big man's landing place, but the Celtics can not make a move by July 1 due to the Rose Rule.
One team can not have more than one player at a certain maximum extension of the contract for a rookie and with Celtics Kyrie Irving, who is already on this type of deal, Boston is forbidden to move to Davis until after Irving sign with a franchise or leave through a free agency,
This releases the Lakers to try to lure the pelicans in a deal before the trading deadline this Thursday (12:00 PST / 20:00 UK UK).
The Pelicans, however, ignored the Lakers' initial offers with ESPN Adrian Wojnarowski, who reported that New Orleans were left "suppressed" by their offers.
The Lakers desperately want to add Davis along with LeBron James, as they strive to improve their squad to compete in a full-fledged West Conference, and the Golden State Warriors' heavyweight favorites to reach the NBA finals.
The Los Angeles Times reported that it is expected that Lakers and Pelican will resume talks on Davis' six-time lead by All-Star this week, and given the lack of response, the Lakers are likely to strive to improve their bid.
Their sources suggest that pelicans can make a counter offer that requires two spades from the first round and a pelican player to free up a paycheck.
The report adds that the Lakers have sent five pelican offers, one of which included Lonzo Ball, Kyle Kuzma, Brandon Ingram, Ivica Zubac, and the first round of selection.
L.A. The Times add that Celtics are equally willing to hire Davis, despite reports that Davies wants only the Lakers, and he will leave after one year in any other organization when he can become a free agent in 2020.
Davis' father, Anthony Davies, senior, wants to avoid moving to Boston.
He told ESPN last week, "Boston, I will never want my son to play for Boston after what he did to Isaiah Thomas.
– No loyalty. Guy gives his heart and soul and they trade it. Everyone can print this.
"That's just my opinion, not Anthony's. I've just seen things over the years with Boston and no loyalty. "
But Davies insists he has not given the pelicans a specific destination to which he wants to be traded.
He told reporters: "I or my agency never give Pelicans a destination or something else. I'm not sure where it comes from.
"That's really for the Pelicans. He never gave them a schedule, never gave them a destination.
– I wanted to do it [submit my trade request] now only for the simple fact that they have enough time to make the best decision for the organization. "