The report suggests Rooney's agent, Paul Stretford, has held talks with the MLS over a potential summer move.
Talks between Rooney's camp and DC United are said to have gone well, with Everton willing to let the 32-year-old leave.
In addition to Rooney, D.C. are mulling moves for West Ham and Mexico striker Javier "Chicharito" Hernandez and Nice forward Mario Balotelli, the Post reported sources as saying.
Rooney is an England National Team legend.
Who are D.C. United?
Air France cancels 15 percent of flights on Monday
Analysts have compared a rejection of management's pay proposal by workers to "pressing the self destruct button". But over at Air France, that well-oiled worker conflict played out in a decidedly more retro fashion.
The capital club are said to be planning on making heavy investment in the playing squad during the transfer window, fuelled by prospective income from their new Audi Field stadium, which opens in July.
Despite losing to the Chicago Fire in the 1998 MLS Cup, they stormed back in 1999 to defeat the Los Angeles Galaxy and win their third MLS Cup.
"A top quality player for me is the only player we should be looking at, " he added. The team ultimately ended up trading Adu in December 2006.
After the goalless Merseyside Derby at Goodison at the beginning of April, rumours again surfaced that the forward was considering his options despite only just returning to his boyhood club. "Wayne loves his football, he loves training, he wants to play and play well like everybody else".
The former England captain left Everton as an 18-year-old for Manchester United but returned after 13 years at Old Trafford last summer.
With the league becoming increasingly competitive, the Washington-based side have been searching for goals for a handful of years after not having a player hit double figures for two seasons.