The Dutchman has long been linked with a move to Old Trafford, across several managers, though of course now would play under his former international manager Louis van Gaal were he to sign this summer.
But Roma supremo Rudi Garcia has been quick to pour cold water on reports the deal may be edging towards a positive conclusion - even if the player wouldn't have ended up moving until January.
“Strootman is a Roma player, he will be a Roma player this year," said the ex Lille boss. "There is no doubt about that.
"Only he can say whether he wants to stay but it was never an issue for him to go to another club. There is no question of it."
Whether Garcia's words "this year" indicate that the Dutch international will be on Roma's books until the New Year, before a switch to Old Trafford, is or just a routine expression, is one for the conspiracy theorists.
The two clubs are set to meet in a friendly in Denver on Saturday, and though the player is set to sit out as he continues his recovery from the cruciate knee ligament he suffered in March, United executives may be eager to discuss the former PSV star.
“Strootman is following a normal recovery programme,” continued the Frenchman. “He has stayed in Boston (where Roma played earlier in the week) to work with our physios and he will start running any time soon."
Strootman was set to play a key role in the Netherlands World Cup tournament in Brazil this summer, having become a massive favourite of the country's manager Louis van Gaal since the 62-year-old took over in 2012.
The 24-year-old even captained the side during Van Gaal's reign, and was one of the first names linked to United once the former Bayern and Barcelona boss was confirmed as next season's manager.
It looks like Roma are more than adamant regarding the midfielder, though with Ed Woodward revealing that Van Gaal has plenty of money to strengthen, if United really want their man, they may well be able to do some impressive, and expensive convincing.