Whether there is any truth in the rumours remains to be seen, but the Washington Post seem convinced that a meeting has taken place and all parties could be willing to make a deal happen.
They report that the German's agent Erkut Sogut met with DC executives Jason Levien and Sam Porter, when his future was discussed over lunch.
Sogut then had a tour of United's Audi Field stadium and the club's training centre to check out what could be in store for his client if a move does happen at one point.
The trio then watched a second-division match together and it would certainly seem like there is no smoke without fire regards this latest link.
One serious problem for DC United will be the fact they will struggle to meet the player's wage demands, unless he is willing to take a huge pay cut to have a fresh challenge stateside.
Ozil came close to leaving under the leadership of Arsene Wenger as time ticked away on his contract, before he finally penned a new one that is reported to be worth a staggering £350,000 a week.
MLS side could not justify, nor would they be willing to pay that kind of figure, but the fact that the meeting took place, at least shows that all parties are weighing up the options to see if it could happen.
DC United cannot be underestimated and have pulled off big deals in the past, most notably the capture of Wayne Rooney, who is currently on the books.
It has just been announced that Rooney will leave Washington at the end of his contract to take up a position of player/coach at Derby County, and United clearly want another marquee player to replace him.
That player could be Ozil and the departure of Rooney would free up a significant amount of cash to put towards a deal for the Arsenal midfielder.
Much could also depend on how Ozil starts the season with Arsenal. It has not been great so far following the incident which saw both him and Sead Kolasinac confronted by armed attackers, and a move away from London could be at the forefront of his mind.
In which case, the safety of his family and a fresh start, not the size of his pay cheque, could be top of his priority list.