The 24-year-old is currently sidelined with a serious knee injury and isn’t expected to return to action until the autumn, but he is a favourite of Van Gaal’s and would be open to a switch to Old Trafford once fit.
And despite still having four years remaining on his Stadio Olimpico deal, Strootman’s agent Chiel Dekker hinted that a move could be a possibility in the winter transfer window.
He told Guardian Sport: “He is of interest to Louis van Gaal but not related to Manchester United at this point.
“But he’s in Rome and he had a terrific season. There has been nothing between the clubs or between Louis and Kevin.
“They know each other and like each other but at this stage its not related to Man United.”
But Dekker also insisted that Strootman is happy with Roma and that it would be a hard decision for him to make should the two clubs come to an agreement.
“Roma do not want to sell, the first thing is its all between clubs,” he added.
“And its also a very difficult decision because he has to choose between a fantastic club in Rome, a club that bought him and supported him while he was injured and you have his personal coach of the national team at United.
“The clubs have to decide. He’s very happy at Rome, he’s happy to stay because they play Champions League next season, and happy to recover his injury, so at this stage we are not part of any discussion.”