At the moment, nothing has been confirmed but Price's team is apparently considering the offer.
However, the former Olympic Bronze Medalist must first defeat with Audley Harrison in October. Price, a heavy favorite, insists he's not looking past the 2000 Olympic Gold Medalist.
Considered one of the sport's most promising upstarts, the 6'8" (203 cm) Price is unbeaten since turning pro in January 2009, delivering 11 big knockouts in his 13 wins.
In his most recent dust-up, David Price bested Sam Sexton (then 15-2 6 KOs), knocking him down and Round 3 before sealing the deal in the fourth.
If Price is thought of by insiders as 'what could be' in heavyweight boxing, Michael Grant is probably viewed as 'what could have been.'
At one time, the 40 year old 6'7" (200.5 cm) was a promising fighter as many considered him the heir to Lennox Lewis. Grant was tall, strong and athletic, and sported an enormous 86" (218 cm) reach.
Early in his career, Grant defeated the likes of Corey Sanders, Ross Puritty, ex-contender Lionel Butler, Al Cole, Cuban Jorge Luis Gonzalez, David Izon and Obed Sullivan. He also knocked down and outpointed Lou Savarese before most title elimination bout with Andrew Golota.
In the Golota dust-up, Grant was knocked down twice in the first round but rallied to stop a bewildered and tentative Golota in the tenth round.
Following the huge Golota win in November 2009, Grant was soundly knocked out by then-lineal heavyweight champion Lennox Lewis in Round 2 of their scheduled 12 round fight in 2000 and hasn't been a serious contender since.
Following his loss to Lewis, Grant was knocked out by Jameel McCline in 2001, sustaining a broken ankle in the bout. And after a brief hiatus, Grant came back only to be knocked out by Dominick Guinn in 2003.
When he last faced a top heavyweight, Grant dropped a unanimous decision to Poland's Tomasz Adamek in 2010.
But in his most recent outing, Michael Grant knocked out South African native Frans Botha with a mere 37 seconds left in the fight. The 43 year old South African superstar, fighting in front of his fans in a city near Johannesburg, South Africa, was far ahead on points before he succumbed to a massive right that momentarily put him to sleep.
With the victory over Botha, Michael Grant became the owner of the "fringe" WBF Heavyweight Title that Evander Holyfield relinquished last year in pursuit of bigger opportunities.
Both Evander Holyfield and Tyson Fury are also apparently being considered for February's sizzling South African heavyweight card.
Although Michael Grant is 40 and no longer a real contender, he's an 18 year pro with 36 knockouts in 52 bouts who has won his last 10 of 11 fights. Moreover, he's as big as Price.
Is David ready for a fighter as seasoned as Grant?
Perhaps Price's October bout against Audley Harrison will give us more insight with respect to Mr. Price's progress and overall abilities.